Download pdf - Organizing Committee - ift.uni.wroc.pl · Organizing Committee: Katarzyna Sznajd-Weron (director) Department of Theoretical Physics Wrocław University of Science and Technology [email protected]

Organizing Committee:

Katarzyna Sznajd-Weron (director)Department of Theoretical Physics

Wrocław University of Science and [email protected]

Maciej MatykaInstitute of Theoretical Physics

University of Wrocł[email protected]

Janusz SzwabinskiDepartment of Applied Mathematics

Wrocław University of Science and [email protected]

Poster design:

Piotr Nyczka

Booklet typesetting:

Grzegorz Lukas and Anonymous ;-)

38th Max Born Symposium is co-financed by the City of Wrocławunder the program “Wrocław Scientific Conferences”(http://wca.wroc.pl/en/wroclaw-scientific-conferences)and by Academia Europaea – Wrocław Knowledge Hub

(http://acadeuro.wroclaw.pl/)

Contents

1 Conference timetable 6

2 Invited lectures 82.1 Marcel Ausloos:

Time series analysis and modeling . . . . . . . . . . . . . . . . . . . . . . . . . . 82.2 Małgorzata Cebrat and Stanisław Cebrat:

The distribution of complementary sex determiner (csd) alleles and reproductivestrategy of western honey bees . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

2.3 Michel Droz:Patterns Formation in Nature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

2.4 Joseph Indekeu:Classical engines with ideal efficiency and nonzero power: is it possible? . . . . . 10

2.5 Ryszard Kutner:Anomalous transport and diffusion in a real world . . . . . . . . . . . . . . . . . . 10

2.6 Witold Kwasnicki:Diversity and economic development – an evolutionary perspective . . . . . . . . . 11

2.7 Paulo Murilo de Oliveira:Rich × Poor: who should pay larger tax rates? . . . . . . . . . . . . . . . . . . . 11

2.8 Andrzej Pekalski:Ising model – the source of it all . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

2.9 Ingve Simonsen:Complex Optical Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

2.10 Józef Sznajd:Linear perturbation renormalization group for spin, fermion and political physicsmodels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

2.11 Haim Taitelbaum:Exotic Behavior of Reactive-Wetting Interfaces . . . . . . . . . . . . . . . . . . . 13

3 Contributed talks 143.1 Anna Chmiel, Julian Sienkiewicz, Katarzyna Sznajd-Weron:

q-Ising model on a duplex and a partially duplex clique . . . . . . . . . . . . . . . 143.2 Mirosław Dudek:

Control over chemical processes on the surface of materials with magnetic nanopar-ticles via the use of magnetic hyperthermia . . . . . . . . . . . . . . . . . . . . . 14

3.3 Bartosz Dybiec:Underdamped stochastic harmonic oscillator . . . . . . . . . . . . . . . . . . . . 15

3.4 Piotr Garbaczewski:Random dynamics in a trap: Killing vs survival . . . . . . . . . . . . . . . . . . . 16

3.5 Dariusz Grech:Asymmetry of returns on financial market in non-extensive statistical physics ap-proach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

3.6 Janusz Hołyst:Collective emotions in on-line communities: detection, modeling, and possible ap-plications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

3.7 Małgorzata J. Krawczyk, Krzysztof Kułakowski:A small chance of paradise – equivalence of balanced states . . . . . . . . . . . . 18

2

3.8 Andrzej Krawiecki:Ferromagnetic and spin-glass transition in the Ising model on multiplex networkswith partial overlap . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

3.9 Michał Kurzynski, Przemysław Chełminiak:Do biological molecular machines act as Maxwell’s demons? . . . . . . . . . . . . 19

3.10 Danuta Makowiec, Joanna Wdowczyk:Myocardial architecture by cellular automata on complex networks. Revealingheart rhytm variability in heart transplant patients . . . . . . . . . . . . . . . . . 20

3.11 Czesław Mesjasz:Metaphysics of econophysics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

3.12 Janusz Miskiewicz:Does the monetary policy influenced cross-correlations on the main world stocksmarkets? PLCS analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22

3.13 Piotr Nyczka, Marc-Thorsten Hütt:Inflammatory diseases from the perspective of metabolic networks . . . . . . . . . 22

3.14 Paweł Oswiecimka:Exploring complex networks by random walk and multifractals . . . . . . . . . . . 23

3.15 Juliusz Sienkiewicz, E. G. Altmann:Impact of lexical and sentiment factors on the popularity of scientific papers . . . . 24

3.16 Paweł Sobkowicz, Antoni Sobkowicz:Social maps of science . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

3.17 Ludwik Turko:Phases of hadronic matter – looking for phase transitions in very small systems . . 25

4 Posters with short oral presentations 264.1 Tomasz Bonus, Maciej Matyka:

Soft body model for real time droplet simulation . . . . . . . . . . . . . . . . . . . 264.2 Katarzyna Chajnowska, Jan Masajada, Andrzej Radosz:

Image formation in strong gravitational field: in neighborhood of black hole’s eventhorizon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26

4.3 Przemysław Chełminiak, Michal Kurzynski:Free energy and information transduction in biological molecular machines . . . . 27

4.4 Arkadiusz Jedrzejewski:Pair approximation for the q-voter model with independence on complex networks . 27

4.5 Zofia Krzeminska, Oliwia Ziółkowska, Witold Jacak:Plasmon polariton propagation in ionic periodic structures and saltatory conduc-tion model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

4.6 B. Kusmierz, M. Machaj, K. Sznajd-Weron:The Cantillon effect on a graph – an agent based model . . . . . . . . . . . . . . . 28

4.7 Grzegorz Marcjasz:The hunt opinion model – an agent based approach to recurring fashion cycles . . 29

4.8 Pratik Mullick, Parongama Sen:Zero temperature coarsening in Ising model with asymmetric second neighbourinteraction in two dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30

4.9 Piotr Nyczka:Stable marriage problem under random encounters – Why universal taste could bebeneficial for mating process? . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30

4.10 Maciej Matyka:Web-based physics simulation in scientific application . . . . . . . . . . . . . . . . 31

3

4.11 Krzysztof Pastuszak, Danuta Makowiec:Modeling atrial fibrillation formation by multilayer cellular automata . . . . . . . 32

4.12 Wojciech Radosz:Complex kinetics of guest molecules in all-optical poling: Monte Carlo modeling . 33

4.13 Wojciech Radosz, Adam Mielnik-Pyszczorski, Marta Brzezinska, Katarzyna Sznajd-Weron:The q-voter model with nonconformity in freely forming groups – does the size dis-tribution matter? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

4.14 Parna Roy:Exit probability in inflow dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . 34

4.15 Jakub Slezak:Asymptotic behaviour of time averages for non-ergodic Gaussian processes . . . . 34

4.16 Tomasz Weron:The interplay between conformity and anticonformity and its polarizing effect onsociety . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35

4.17 Piotr Zdybel:Effective Action and Phase Diagram of a Model of Superconductivity with Popula-tion Imbalance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35

4

XXXVIII Max Born Symposium: Conference Timetable

5


Conference timetableThursday, 18.05.2017

09.00 - 09.40 Opening09.40 - 10.20 A. Pekalski: Ising model - the source of it all10.20 - 11.00 M. Droz: Patterns Formation in Nature11.00 - 11.30 Coffee break11.30 - 12.10 J. Sznajd: Linear perturbation renormalization group for spin, fermion and

political physics models12.10 - 12.50 J. Indekeu: Classical engines with ideal efficiency and nonzero power: is it

possible?12.50 - 14.30 Lunch and networking break14.30 - 14.50 D. Makowiec: Myocardial architecture by cellular automata on complex net-

works. Revealing heart rhytm variability in heart transplant patients14.50 - 15.10 B. Dybiec: Underdamped stochastic harmonic oscillator15.10 - 15.30 A. Krawiecki: Ferromagnetic and spin-glass transition in the Ising model on

multiplex networks with partial overlap15.30 - 15.50 P. Garbaczewski: Random dynamics in a trap: Killing vs survival15.50 - 16.10 C. Mesjasz: Metaphysics of econophysics16.10 - 16.40 Coffee break16.40 - 18.00 Gong and poster session

Friday, 19.05.2017

09.00 - 09.40 M. Ausloos: Time series analysis and modeling09.40 - 10.20 P.M. de Oliveira: Rich × Poor: who should pay larger tax rates?10.20 - 11.00 H. Taitelbaum: Exotic Behavior of Reactive-Wetting Interfaces11.00 - 11.30 Coffee break11.30 - 12.10 I. Simonsen: Complex Optical Systems12.10 - 12.30 L. Turko: Phases of hadronic matter - looking for phase transitions in very

small systems13.30 - 12.50 M. Kurzynski: Free energy and information transduction in biological molec-

ular machines12.50 - 14.30 Lunch and networking break14.30 - 15.10 R. Kutner: Anomalous transport and diffusion in a real world15.10 - 15.30 P. Oswiecimka: Exploring complex networks by random walk and multifractals15.30 - 15.50 J. Hołyst Collective emotions in on-line communities: detection, modeling, and

possible applications15.50 - 16.10 D. Grech Asymmetry of returns on financial market in non-extensive statistical

physics approach16.10 - 16.40 Coffee break16.40 - 18.00 Gong and poster session

6


Saturday, 20.05.2017

09.00 - 09.40 M. Cebrat & S. Cebrat: The distribution of complementary sex determiner (csd)alleles and reproductive strategy of western honey bees

09.40 - 10.20 W. Kwasnicki: Diversity and economic development– an evolutionary perspec-tive

10.20 - 10.40 K. Kułakowski: A small chance of paradise – equivalence of balanced states10.40 - 11.00 P. Sobkowicz: Social maps of science11.00 - 11.30 Coffee break11.30 - 11.50 J. Sienkiewicz: Impact of lexical and sentiment factors on the popularity of

scientific papers11.50 - 12:10 M. Dudek: Control over chemical processes on the surface of materials with

magnetic nanoparticles via the use of magnetic hyperthermia12.10 - 12.30 A. Chmiel: q - Ising model on a duplex and a partially duplex clique12.30 - 12.50 J. Miskiewicz: Does the monetary policy influenced cross-correlations on the

main world stocks markets? PLCS analysis.12.50 - 13.10 P. Nyczka: Inflammatory diseases from the perspective of metabolic networks.13.10 - 13.30 Closing

7

XXXVIII Max Born Symposium Invited lectures

Invited lecturesTime series analysis and modeling

Marcel Ausloos1,2

1School of Business, University of Leicester, Leicester, LE1 7RH, United Kingdom2Physics, GRAPES, rue de la belle jardiniere 483, B-4031 Liège, Euroland

Time series occur in many fields of biology, physics, chemistry, engineering. Much work has beenprovided in statistical physics using various mathematical techniques in order to display serieswith specific properties. Moreover, many empirical analyses are available for outlining time seriesproperties. Several methods, beyond the Fourier transform, are thereby presented. Empirical timesseries can be drawn from problems in finance, economics, and demography, searching for theexistence (or not) of long-, medium-, short-range (power-law or not) correlations.

The Fourier transform, the Hurst rescaled range, the extraction of detrended fluctuations corre-lations, the moving averages, and the Zipf-plots methods will be recalled. They focus on questionsabout fractional Brownian motion properties, or in sorting out correlation ranges and predictabil-ity. The possibility of crash predictions is indicated when there is an underlying discrete scaleinvariance.

Construction examples are presented, e.g. through the Bak-Sneppen model of co-evolution, inorder to derive synthetic time series with an a priori specified fractal dimension (or Hurst exponent).And first, thus not least at all, some emphasis on how testing the reliability of empirical time serieswill be presented, along Benford’s law.

8


The distribution of complementary sex determiner (csd) alleles and reproductive strategy ofwestern honey bees

Małgorzata Cebrat1 and Stanisław Cebrat2

1Laboratory of Molecular and Cellular Immunology, Hirszfeld Institute of Immunology andExperimental Therapy, Polish Academy of Sciences, Weigla 12, 53-114 Wrocław, Poland

2Department of Genomics, Faculty of Biotechnology, University of WrocławF. Joliot-Curie 14a, 50-383 Wrocław, Poland

The complementary sex determiner (csd) gene determines the sex of the western honey bee (Apismellifera L.). Bees that are heterozygous at the csd locus develop into females; whereas hemizy-gous bees develop into males. The co-occurrence of two identical csd alleles in a single diploidgenome leads to diploid male formation and subsequent genetic death of the organism. Thus, themaintenance of csd diversity in the population is favoured. The number and distribution of csd alle-les is particularly interesting in light of the recent decline in the honey bee population and previousworks have estimated that the worldwide number of csd alleles is ∼ 150.

We have analysed the distribution of csd alleles in two Polish honey bee populations separatedby about 100 km. We analysed the maternal alleles of 193 colonies and found 121 different alle-les. Although this number does not vary significantly from the previous estimation, the degree ofoverlapping the sets of alleles in our two populations as well as between our populations and thepreviously described is strikingly low (∼ 20%). We also analysed the distribution and frequencyof the alleles, and found that they are distributed unevenly. We show that the statistical methodsused so far to estimate the total worldwide number of csd alleles have significantly underestimatedtheir diversity. We also show that the uneven distribution of csd alleles is caused by a large numberof infrequent alleles, which most likely results from the fact that these alleles are generated veryfrequently.

Taking into account the significance of the postulated high frequency of the new csd allelesgeneration, we speculate that in addition to its role in sex determination, csd may play a role incontrolling the balance between inbreeding and outbreeding in honey bee reproduction. Since inthe honey bee swarm only queen can reproduce – the effective sizes of their natural populationsare very low while the inbreeding high. Consequently, a high rate of csd allele generation wouldbe required to protect such a population against the overproduction of diploid males. On the otherhand, an excessive rate of new csd allele generation could lead to the generation of organisms thatare heterozygous at the csd locus, but otherwise have very similar haplotypes. That is why wesuggest to perform computer simulations which would indicate which parameters are crucial forkeeping the highest biodiversity of the honey bee populations.

9


Patterns Formation in Nature

Michel Droz

Institute for Theoretical Physics, University of Geneva, 24, Quai Ernest-Ansermet, CH-1211Genève 4, Switzerland

After a short introduction on the importance of pattern formation in Nature, the class of patternformation in reaction-diffusion systems will be revisited. Turing patterns and patterns formed inthe wake of a reaction-diffusion front will be discussed. In particular, we will argue that patternformation in the wake of a moving front could provide a new top-down mechanism to create pat-terns on a surface.

Classical engines with ideal efficiency and nonzero power: is it possible?

Joseph Indekeu

Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, 3001 Leuven, Belgium

A classical engine with ideal efficiency (unity for a chemical engine and Carnot for a thermal one)has zero power because a reversible cycle lasts infinitely long. However, at least from a theoreticalpoint of view, it is possible to conceive (irreversible) engines with nonzero power that can reachideal efficiency. Our way to do this is by replacing the usual linear transport law by a sublinear oneand taking the step-function limit for the particle current (chemical engine) or heat current (thermalengine) versus the applied force. We speculate on the physical motivation for a sublinear law and astep-function law in the context of criticality and first-order phase transitions, respectively. Quan-tum engines are also relevant in this context but will not be discussed in this talk.

Anomalous transport and diffusion in a real world

Ryszard Kutner

Faculty of Physics, University of Warsaw, Pasteur 5, 02-093 Warsaw, Poland

We demonstarte the very inspiring role of the continuous-time random walk (CTRW) formalism,the numerous modifications permitted by its flexibility, its various applications, and the promisingperspectives in the various fields of knowledge. A short review of significant achievements, and thepromising perspectives and possibilities is given. We focused on the pivotal role of CTRWs mainlyin anomalous stochastic processes discovered in physics and beyond. Thus we show incrediblepossibilities of the CTRWs.

10


Diversity and economic development – an evolutionary perspective

Witold Kwasnicki

Institute of Economic Sciences, University of Wrocław, Poland

In the first part of the paper, a description of an evolutionary model of industry development ispresented. Simulation study follows this part and it is focused on the investigation of the role ofdiversity and heterogeneity of firms’ behaviour on tempo and modes of industrial development,mainly related to a rate of technological development (innovativeness). References to R.A. Fisher’stheorem of natural selection is presented. Simulation results suggest that it is possible to gener-alise Fisher’s observation. Speeding up of economic growth due to higher variety is observed notonly in a case of evolutionary process approaching the equilibrium but also, in the long run, mov-ing from one equilibrium to the new one (more advanced). The speeding up occurs due to highervariety caused by tolerant environment and due to a higher probability of emergence of radical in-novations. Those innovations cause the appearance of new equilibria toward whom the process iscontinuously approaching.

Rich × Poor: who should pay larger tax rates?

Paulo Murilo de Oliveira

Instituto de Física, Universidade Federal Fluminense, Universidade Federal da Integração LatinoAmericana, Rio de Janeiro, Brasil

In order to answer this question, consider the following simple agent-based model, in two annualsteps: (I) during the year, the wealth Wn of each agent is multiplied by a random, positive factortossed from a fixed (any) probability distribution; (II) at the end of the year, each agent pays taxes.The tax rate is the fraction of the individual wealth each agent pays. Here, it is a linear function ofthe share wn = Wn/

∑iWi of each agent, with angular coefficient p, the only relevant parameter

of the model. For p > 0, rich agents pay larger tax rates. Otherwise, for p < 0, poor agents paymore. After many years, there is a phase transition towards an absorbing state. If p < 0, the totalpopulation wealth falls at the hands of a single agent, meaning a society collapse: all shares wn

vanish but the richest agent with wmax = 1. Otherwise, if p > 0, the total wealth remains foreverdistributed among the agents, all shares wn < 1, the society survives.

Ising model – the source of it all

Andrzej Pekalski

Institute of Theoretical Physics, University of Wrocław, pl. Maksa Borna 9, 50-204 Wrocław,Poland

I shall present the very special history of the Ising model and some facts about the life of ErnstIsing. Then I shall show how the model could be solved in one dimension. Finally, I shall describe,rather shortly, some applications and modifications of the model in physics and biology.

11


Complex Optical Systems

Ingve Simonsen1,2

1Department of Physics, NTNU Norwegian University of Sciences and Technology, NO-7491Trondheim, Norway

2Surface du Verre et Interfaces, UMR 125 CNRS/Saint-Gobain, F-93303 Aubervilliers, France

The aim of this talk is to give a pedagogical introduction to light scattering from random and or-dered rough surface. This will be done by presenting a collection ("a potpourri") of rough surfacescattering phenomena. We will discuss what characterizes them, under what conditions they occur,and what is physical origin underlying them. Some of the phenomena we will present are enhancedback and forward scattering; satellite peaks; the Brewster scattering phenomenon; optical Yonedapeaks; Rayleigh and Wood anomalies; and Mueller matrices and depolarization.

Linear perturbation renormalization group for spin, fermion and political physics models

Józef Sznajd

Institute for Low Temperature and Structure Research Polish Academy of Sciences, Wrocław,Poland

The Linear Perturbation Renormalization Group (LPRG) method uses a simple linear RG transfor-mation to study universal (critical) and non-universal such as a location of the critical temperatureand temperature or field dependence of thermodynamic quantities of several classical and quantummodels. The method starts with an exact (for Ising model) or approximate decimation of one chain.Then, on the basis of it the interchain interaction is renormalized in a perturbative way.

In the lecture the LPRG is presented in detail for the simplest possible case, i.e., the Isingchains with interaction J coupled by the weak interchain interactions J1. Next the LPRG is appliedto study two-band spinless fermion model (Falicov-Kimball model) and two-party political system.In the first case, for a single chain the fermion occupation number nf is a smooth function of Tand the specific heat displays two maxima. The weak interchain hopping triggers a discontinuity inthe occupation number of fermions as a function of temperature which addresses a long-standingcontroversy on whether the Falicov-Kimball model can describe a discontinuous transition of nf .

In the second case, to describe a two-party system a sociophysics model based on the S = 1Ising model (Blume–Capel) is proposed. The measure of democracy, index VD, is defined as thepercentage of the total population that actually voted in a given election for one of two major par-ties. Thus, we disregard not only nonvoters but also those who vote for smaller parties, whose voteswill not have a substantial impact on the election and consequently they will not be ‘in the loop’,even theoretically. The index VD, is analyzed as a function of interparty conflict. It was found that areasonable level of the conflict between the electorates of the two major parties can be beneficial forboth parties and moreover for the quality of democracy measured by the index VD. However, for ahigher level of conflict (higher degree of polarization), citizen participation decreases rapidly. Forsufficiently large political strife between two major parties only so-called hard or fixed electoratesof the major parties want to take part in public life. A high percentage – and in the extreme casemost of society – decline to vote for a party that can win a majority in the legislature and there-fore decline to participate in real decision-making, which in fact means the collapse of high-qualitydemocracy.

12


Exotic Behavior of Reactive-Wetting Interfaces

Haim Taitelbaum

Department of Physics, Bar-Ilan University, Ramat-Gan, Israel

When a droplet of mercury is transferred to a thin metal (silver/gold) film deposited on a glasssubstrate, it starts to dissolve and spread in a very non-trivial manner. This is the only knownreactive-wetting system in room temperature. This system exhibits two main regimes, the bulkpropagation regime and the interface kinetic roughening regime. The bulk propagating dynamics isvery different than classical wetting characteristics. In the kinetic roughening regime, rich spatio-temporal patterns are observed. The latter are studied and characterized using statistical physicstools, such as the growth, roughness and persistence exponents. We also discuss the global de-cohesion and structural instability of the thin film due to the mercury spreading, resulting in DLA-like finger patterns.

[1] A. Be’er, Y. Lereah, H. Taitelbaum, Physica A 285, 156 (2000)[2] A. Be’er, Y. Lereah, I. Hecht, H. Taitelbaum, Physica A 302, 297 (2001)[3] A. Be’er, Y. Lereah, A. Frydman, H. Taitelbaum, Physica A 314, 325 (2002)[4] A. Be’er, Y. Lereah, J. of Microscopy, 208, 148 (2002)[5] I. Hecht, H. Taitelbaum, Phys. Rev. E 70, 046307 (2004)[6] A. Be’er, I. Hecht, H. Taitelbaum, Phys. Rev. E 72, 031606 (2005)[7] I. Hecht, A. Be’er, H. Taitelbaum, FNL, 5, L319 (2005)[8] A. Be’er, Y. Lereah, A. Frydman, H. Taitelbaum, Phys. Rev. E 75, 051601 (2007)[9] A. Be’er, Y. Lereah, H. Taitelbaum, Mater. Sci. Eng. A 495, 102 (2008)

[10] Y. Efraim, H. Taitelbaum, Cent. Eur. J. Phys. 7, 503 (2009)[11] L. Lin, B.T. Murray, S. Su, Y. Sun, Y. Efraim, H. Taitelbaum, T.J. Singler, J. Phys. Cond.

Mat. 21, 464130 (2009)[12] Y. Efraim, H. Taitelbaum, Phys. Rev. E, 84, 050602(R) (2011)

13

XXXVIII Max Born Symposium Contributed talks

Contributed talksq-Ising model on a duplex and a partially duplex clique

Anna Chmiel1, Julian Sienkiewicz1, Katarzyna Sznajd-Weron2

1 Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland2 Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław

University of Science and Technology, Wybrzeze Wyspianskiego 27, 50-370 Wrocław, Poland

We analyze a modified kinetic Ising model, so called q-neighbour Ising model, with Metropolisdynamics, on a duplex and partially duplex clique. In the q-Ising model each spin interacts onlywith q spins randomly chosen from the whole neighbourhood In the case of the duplex clique thechange of a spin is allowed only if both levels simultaneously induce it. Due to the mean-field likenature of the model we are able to derive the analytic form of transition probabilities and solvethe corresponding master equation. The existence of the second level significantly changes thecharacter of the phase transition.

In the case of the monoplex clique, the q-neighbour Ising model exhibits continuous phasetransition for q = 3, discontinuous phase transition for q > 3 and for q = 1 and q = 2 the phasetransition is not observed. On the other hand, in the examined case of the duplex clique continuousphase transitions are observed for all values of q, including q = 1 and q = 2.

Subsequently we extend our approach introducing a partially duplex clique, parametrized by rwhich allows us to tune the network topology from monoplex (r = 0) to duplex (r = 1). Such ageneralized topology, in which a fraction r of all nodes appear on both levels, allows to estimate acritical value of r∗(q) at which a change from continuous to discontinuous phase transition appears.We observe oscillatory behavior of r∗ with increasing q for odd and even values of q.

Control over chemical processes on the surface of materials with magnetic nanoparticles viathe use of magnetic hyperthermia

Mirosław Dudek

Institute of Physics, University of Zielona Góra, ul. Szafrana 4a, 65-069 Zielona Góra, Poland

In this work, it is shown that magnetic nanoparticles in an external radio-frequency magnetic fieldmay strongly affect local acidicity of aqueous solutions. The potential insertion of these nanopar-ticles may provide a very efficient tool for catalysis of various chemical reactions at the water-material interface. In view of this, the particular example of optimisation of local pH for antibody-antigen complex formation is discussed.

[1] B. Zapotoczny , M.R. Dudek, J.J. Kozioł, J. Mleczko, Nanobuffering property of Fe3O4magnetic nanoparticles in aqueous solution, Physica A 392 (2013) 1493–1499

[2] W. Wolak, A.B. Kolomeisky, Mirosław R. Dudek, M.Marc, L. Najder-Kozdrowska, The useof magnetic hyperthermia for charging silica-water interface, submitted (2017)

[3] J. Mleczko, A. Defort, J.J. Kozioł, et al., Limitation of tuning the antibody-antigen reactionby changing the value of pH and its consequence for hyperthermia, J. Biochem. 159(4) (2016)421–427

14


Underdamped stochastic harmonic oscillator

Bartosz Dybiec

Institute of Physics, Jagiellonian University, Kraków, Poland

Many situations in natural sciences can be successfully investigated adopting the stochastic levelof description, considering the system of interest as a dynamical system responding to externalperturbations represented by a noise. In the simplest situations this noise is assumed to be whiteand Gaussian. The white type of the noise is the consequence of the large number of independentinteractions bounded in time. Its Gaussian character arises due to the assumption that the interac-tions are bounded in their strength. In many far from equilibrium cases the second assumption fails;the interactions still can be of the white type (i.e. independent) but described by heavy-tailed dis-tributions frequently of the α-stable Lévy type. Such heavy-tailed fluctuations, among others, areabundant in heartbeat dynamics, neural networks, search on a folding polymers, animal movement,financial time series, and even in spreading of diseases and dispersal of banknotes.

A damped harmonic oscillator under influence of external noise is a basic model of non-equilibrium statistical physics. The evolution of the state variable x is described by the followingequation of motion

mx(t) = −γx(t)− kx(t) + ξ(t),

where x is position,m particle mass, γ damping coefficient, k spring constant and ξ(t) is the (white)α-stable noise. Since the response function of the harmonic oscillator is known, the coordinate x(t)and the velocity v(t) = x(t) are obtained by the action of a known linear operators on the noise termξ(t), and the characteristic function of the joint probability distribution of (x, v) can be obtainedexplicitly. The formal solution of the problem is astonishingly different from the solution underGaussian noise. Here, we focus on the properties of the corresponding stationary distribution,which is achieved at times t� γ/k.

In the Gaussian case, in the stationary state, the distribution of variables (x, v) is a bivariateGaussian. Since this distribution factorizes into a product of x− and v− distributions, the phasevariables are independent. The independence of x and v carries over to the equipartition theoremof equilibrium statistical physics. Since the argument of the exponential is a quadratic form of thecoordinate and velocity, the contours of equal probability density are elliptic.

In the case of Lévy noises other than the Gaussian one none of these properties holds. Thus,the variables x and v are dependent, and the dependence is stronger in the overdamped case (

√k <

γ/2) than in the underdamped one (√k > γ/2). The distribution of (x, v) is not elliptic. Within the

talk, we present the results of numerical simulations of the harmonic oscillator under Lévy noisetogether with analytical results corroborating these findings. We moreover discuss in some detailthe measures which can be used to characterize dependence of the nonelliptic Lévy variables andquantify the dependence of x− and v− variables. Finally, we discuss a stochastic analog of theequipartition theorem.

[1] I. M. Sokolov, B. Dybiec, and W. Ebeling, Phys.Rev. E 83, 041118 (2011).[2] B. Dybiec, I. M. Sokolov, and E. Gudowska-Nowak, Underdamped stochastic harmonic os-

cillator (work in progress).

15


Random dynamics in a trap: Killing vs survival

Piotr Garbaczewski

Institute of Physics, University of Opole, ul. Oleska 48, 42-052 Opole

We consider the random dynamics in a bounded domain, while concentrating on somewhat unex-plored links between the absorbing and inaccessible boundary data impact upon random motion.Both Brownian and Levy-stable dynamics will be discussed , with a focus on the long term surival,and the permanent trapping scenarios.

Asymmetry of returns on financial market in non-extensive statistical physics approach

Dariusz Grech

Faculty of Physics and Astronomy, University of WrocławWrocław, Poland

We study how non-extensive statistical physics can be applied to describe the asymmetric behaviorin fat tailed distributions of positive and negative returns on financial market. The new methodbased on the value of non-extensive Tsallis parameter q is proposed to measure this asymmetry.Then we propose a quantifier in terms of Tsallis parameters to analyze the effect of memory in datacaused by nonlinear autocorrelations.

The presented analysis is based on data of separate stocks from the main developing stock mar-ket in Europe – Warsaw Stock Exchange (WSE) in Poland and, comparatively, on data from themost mature money market (Forex). It is argued that the new quantifier is able to describe the stageof market development and market robustness to speculation. The main strength is put on descrip-tion and interpretation of asymmetry of positive and negative returns in terms of Tsallis statisticsfor various stocks and for diversified time lags ∆t of data collection. Our search indicates that verysimilar brands acting in European Union (EU) may be a target of diversified level of speculationsinvolved in trading independently on the economic situation of the company itself but just becausetheir shares are quoted on different stock markets.

16


Collective emotions in on-line communities: detection, modeling, and possible applications

Janusz Hołyst

Faculty of Physics, Center of Excellence for Complex Systems Research, Warsaw University ofTechnology, Warsaw, Poland

Emotions are an important part of most societal dynamics. As with face to face meetings, Internetexchanges may not only include factual data but also emotional information; how participants feelabout the subject discussed or other group members. The development of automatic sentimentanalysis has made large-scale emotion detection and analysis possible using text messages collectedfrom the web.

In this lecture I will show you how methods of nonequilibrium statistical physics make possi-ble to detect a collective character of emotions in various cyber-communities (BBC Forum, Digg,blogs). We have observed that people sharing similar emotions attract each other in on-line discus-sions and this emotional homophily leads to emergence of mono-emotional clusters in time seriesof emotional valence. The growth of such clusters is well described by a stochastic process witha long-time memory and a nonlinear preferential dependence. It is interesting that emotions thatare under-represented in a given community are more clustered than major emotions. It means thatattractive interactions in emotional minority groups are stronger than in groups corresponding tomore frequently met emotions.

A temporal level of emotions can be also related to the stage of community life. In particularnegative emotions can act as a fuel for on-line discussions and in the course of time the level ofemotions decays. The average emotion of longer discussion threads at BBC Forum is more negativeand that threads can be sustained by negative comments. Average discussion lengths were higherfor larger values of absolute average emotional valence in the first ten comments and the averageamount of emotion in messages fell during discussions. Also a physical concept of entropy growthcan be used as an indicator of dialogue’s forthcoming closing. Introducing emotional componentcan be a new important dimension fo development of emotionally intelligent ICT tools such asaffective dialog systems and graphically animated virtual agents and avatars that communicate byemotional interactions.

[1] Chmiel A, Sienkiewicz J, Thelwall M, Paltoglou G, Buckley K, Kappas A, Hołyst JA, Col-lective emotions online and their influence on community life. PLoS ONE 6(7):e22207

[2] Chmiel A, Sobkowicz P, Sienkiewicz J, Paltoglou G, Buckley K, Thelwall M, Hołyst JA,Negative emotions boost user activity at BBC forum. Physica A 390(16):2936–2944

[3] Chmiel A, Hołyst JA (2013) Transition due to preferential cluster growth of collective emo-tions in online communities. Phys Rev E 87(2):022808

[4] Hołyst JA (ed.), Cyberemotions, Collective Emotions in Cyberspace, Springer, Understand-ing complex systems, 201

[5] www.cyberemotions.eu

17


A small chance of paradise – equivalence of balanced states

Małgorzata J. Krawczyk, Krzysztof Kułakowski

Department of Applied Informatics and Computational Physics, Faculty of Physics and AppliedComputer Science, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059

Krakow, Poland

We consider a fully connected social network of N actors, with M = (N2 − N)/2 positive andnegative relations x(ij) = +/ − 1 between them. Out of 2M of the relations, there is 2(N−1) bal-anced states in the sense of Heider [1]. In each such state, the network is divided into two internallyfriendly (x(ij) = +1) and mutually hostile (x(ij) = −1) groups. In particular, the paradise statemeans that there is only one group and all relations are friendly [2]. The departure of the balancecan be measured by the number of unbalanced triads, i.e. triads where x(ij)x(jk)x(ki) < 0. Thisnumber is called energy. Here we apply the method of compression of state space [3] by classifica-tion of the states with respect to the symmetry of the system. For small N, the network of classesreveals that for any discrete dynamics driven by mimimalizing energy, all balanced states belongto the same class. This implies, that the stationary probability of the paradise state is 2(1−N). Thisresult applies in particular to the algorithm of Constrained Triad Dynamics [2]. The calculationsare supplemented by the continuous time evolution of the relations x(ij) [4] for N = 3, with thesame result.

[1] E.Aronson, The Social Animal, W.H.Freeman and Co., NY 1992.[2] T.Antal, P.L.Krapivsky and S.Redner, Phys. Rev. E 72, 036121 (2005).[3] M.J.Krawczyk, Physica A 390, 2181 (2011).[4] K. Kułakowski, P.Gawronski, P.Gronek, Int. J. Mod. Phys. C 16, 707 (2005).

18


Ferromagnetic and spin-glass transition in the Ising model on multiplex networks withpartial overlap

Andrzej Krawiecki

Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland

Theory for the ferromagnetic and spin-glass transition in the Ising model on multiplex networkswith partial overlap is presented, based on the replica method. In the model under study two-state spins are located in the nodes which can belong to different independently generated layersin which the edges correspond, with certain probability, to ferromagnetic or antiferromagnetic ex-change interactions. In this case the possible phase transitions are characterized using many sets ofthe order parameters (each consisting of magnetization, spin-glass order parameter, etc.) so that theconsecutive sets are associated with different layers of the multiplex network. In particular, the crit-ical temperatures for the transition from the paramagnetic to the ferromagetic or spin-glass phaseare evaluated from the replica-symmetric solution for the case of the multiplex network with twopartly overlapping layers in the form of random graphs or scale-free networks. It is shown that bychanging the overlap (i.e., the fraction of nodes which belong to both layers) while keeping otherparameters (such as the fraction of edges corresponding to antiferromagnetic interactions withineach layer) constant it is possible to decide which of the possible ordered phases (the ferromagneticor spin-glass phase) appears as the temperature is lowered. These theoretical predictions are con-firmed by Monte-Carlo simulations using the parallel tempering method.

Do biological molecular machines act as Maxwell’s demons?

Michał Kurzynski, Przemysław Chełminiak

Faculty of Physics, A. Mickiewicz University, Poznan, Poland

The nanoscopic isothermal machines are not only energy but also information transducers. Weshow that the generalized fluctuation theorem with information creation and entropy reduction canbe fulfilled for the enzymatic molecular machines with the stochastic dynamics, which offers achoice of the work performance in a variety of ways. The main conclusion of the study is that theprocessing of free energy has to be distinguished from the processing of organization, which weidentify with an adequately defined thermodynamic variable. Maxwell’s demon utilizes entropyreduction for creation of information, which, from the former point of view, may be used for a re-duction of energy losses, and from the latter, for other purposes, for example molecular recognition.From the biological perspective, the ascertainment is important, that the information creation andstorage take place in the long lasting transient stages before completing the free energy transductioncycles. Projection of the stochastic trajectory on the fluctuating variable of organization has a formof time series representing continuous time random walk. From a broader physical perspective, asupposition could be of special importance, that information is a change of organization, the ther-modynamic function of state of the system.

19


Myocardial architecture by cellular automata on complex networks. Revealing heart rhytmvariability in heart transplant patients

Danuta Makowiec1, Joanna Wdowczyk2

1 Institute of Theoretical Physics and Astrophysics, University of Gdansk2 1st Chair & Clinic of Cardiology, Medical University of Gdansk

In patients with end-stage heart disease the heart transplantation (HTx) is associated with significantimprovement in survival and in quality of life. However strong immunosuppressive drugs togetherwith processes of aging could lead to vasculopathy and fibrosis of the donor heart. Moreover aspontaneous process of reinnervation proceeds in the myocardial tissue. All together impact onprogressive alternations in the myocardial structure what influence propagation of activation wavefronts. A variety of arrhythmias – abnormal heart rhythm, may occur which adversely affect thepatient long term survival.

Cellular automata modeling of signal propagation in the atrial muscle tissue is a rational com-promise in resolving of physiological complexity, justified by efficiency in reproducing detailsof myocardial architecture. Consequently this modeling may explain key relationships betweenheart muscle structure and the propagation of activation wave fronts, possible reasons for the riskof arrhythmia. Combining our proposition for stochastic network cellular automata model of thehuman pacemaker [1] and 2D cellular automata model of fibrosis in atria proposed in [2], we inves-tigate which changes in myocardial structure affects propagation of cell-to-cell signals to contractin such way that we observe abnormal heart rhythm. 24-hour Holter measurement, a noninvasiveand cheap ECG recording provides information on erratic rhythms of HTx patients. By modelingof structural alternates in the heart tissue we reproduce properties of some individual HTx patientheart rhythm [3].

[1] D. Makowiec Acta Phys.Pol.B Proc.Suppl. 7(2014) 347[2] K. Christensen et al, Phys. Rev. Lett. 114 (2015) 028104[3] D. Makowiec et al, Chaos, Solitons & Fractals 90 (2016) 101

20


Metaphysics of econophysics

Czesław Mesjasz

Management Process Department, Cracow University of Economics, Cracow, Poland

Leaving apart the general discussions about identity and validity of econophysics as a science, itis necessary to reflect upon a deeper sense of research in that area. In particular a rank of hiddenassumptions made in econophysical discussions can be taken into account. I call them purposively“metaphysics of econophysics”. Two of them will be given more attention in the paper. Bearingin mind several simplifying assumptions applied in econophysics the study aims at investigating indepth the following characteristics of econophysics/sociophysics:A. Operationalization and measurement of value and operationalization and measurement of thevalue of money.B. Application of scale-free networks in studying the processes of social organization.

The above aims are associated with the following hypotheses, which can be also treated as conjec-tures:A. In developing econophysical models of financial phenomena insufficient attention is paid to thefollowing issues:a) intersubjective character of value and money as social constructs (money as social construction,problems with operatonalization and measurement,b) measurement and operationalization of value,c) measurement and operationalization of value of money,d) multiple and multi-level randomization of the value of money contributes to the loss of infor-mative usefulness of measurement of money; in other words the hypothesis will be tested with theuse of formal models that in such case the GI-GO (Garbage In – Garbage Out) situation is emerging.

B. The social networks are created in the process of intersubjective discourse and operational-ization and measurement of their characteristics are of a limited usefulness. In the case of networkmodels applied to social phenomena, the methods of identification of networks will be scrutinized.Basically, two methods of networks identification/creation exist. In the first one, the network isidentified on the basis of real interactions, not only physical but also symbolic, e.g. semantic net-works. In the second approach, a network is created by an observer identifying ties between actorssharing the same interests, reading the same texts, etc. In both types of networks the challenges ofmeasurement, operationalization, objectivity, subjectivity and intersubjectivity always occur.

21


Does the monetary policy influenced cross-correlations on the main world stocks markets?PLCS analysis

Janusz Miskiewicz

Faculty of Physics and Astronomy, University of Wrocław, Wrocław, Poland

The financial crisis in 2007 had a long-lasting influence on the stock markets. Here its impact oncross-correlations between chosen stock quotes of the main world stocks exchange is analysed. Oneof the key questions of this study is whether the measures taken by central banks and governmentsto stabilise the financial markets influenced cross-correlations among quotes. The stocks markets ofthe following regions were analysed: USA (New York stocks exchange), European (London, Parisand Frankfurt stocks exchanges), Far East (Tokyo and Singapore stocks exchanges) and Australian(Sydney stocks exchange). From each of the stocks markets 15 representative companies listed onthe main stocks markets indices were chosen and theirs daily time series quotes investigated.

The cross-correlation analysis was based on the power law classification scheme[1]. The cor-relation strengths among quotes within each of the chosen stocks markets were calculated in thetime window of the length 100 days. The time window was moved along the time axis (by oneday at each step), such that the evolution of the correlation strength of the chosen set of quotes wasobtained. Then the two periods were distinguished: before and after the crisis in 2007. Statisticalproperties of those periods are discussed and analysed. Significant differences between regionswere observed. They might be related to the impact of the FED and ECB on the stocks markets.

[1] J. Miskiewicz, Power law classification scheme of time series correlations. On the exampleof G20 group, Physica A 392, 2150-2162 (2013)

Inflammatory diseases from the perspective of metabolic networks

Piotr Nyczka, Marc-Thorsten Hütt

Jacobs University Bremen, Germany

We have studied gene expression patterns (provided to us by the study within the framework of thesysINFLAME systems medicine consortium) of human patients with inflammatory diseases withrespect to the gene centric metabolic networks. Despite the fact of dealing with very noisy data wewere able to find clear evidence of prominent differences between inflammatory diseases from theperspective of these networks. This difference was clearly visible even on purely topological leveland result was robust across two diffrent human metabolism models, and different parameter val-ues. This is definitely important result and could be a serious step forward in further understandingof inflammatory diseases, from the network perspective.

22


Exploring complex networks by random walk and multifractals

Paweł Oswiecimka

Complex Systems Theory Department, The Henryk Niewodniczanski Institute of Nuclear Physics,Polish Academy of Sciences, ul. Radzikowskiego 152, 31–342 Krakow, Poland

The concept of complex networks has gained popularity in recent years mainly due to the identifi-cation of this type of structures in many, seemingly not related, fields of science. “Networkedness”of the world around us seems to be one of its essential properties, sometimes even completelyobvious if we consider transportation networks, the Internet organization, or the brain neuronalstructure. It has to be admitted, however, despite the identification of several universal properties ofthe complex networks, such as the scale-free and the small world property, Nature seems to be evenmore complex and subtle in its construction than the contemporarily used network models. There-fore, an analysis of topology of these complex networks is difficult and requires a sophisticatedapproach to tackle it.

In this contribution we used the multifractal methodology to identification of properties of thecomplex networks organization in model graphs as well as natural networks representing proteinsin a living cell. For this purpose each considered network is mapped to the time series by meansof random walk on the network. In particular, at each time step properties of a node visited by awalker are “emitted” and form time series reflecting the structural organization of the network. Therelated time series are subject to the multifractal time series analysis that include both the individualtime series and the pairs of them representing different quantities.

Our study shows that the considered model networks can be easily distinguished by the charac-ter of multifractal coupling between different vertex observables. For example, the Watts-Strogatznetworks with small probability of rewiring are characterized by more complex structure of cross-correlations between node properties than the Barabási-Albert graphs. This methodology is par-ticularly useful in the analyses of natural systems with unknown network structure. In this con-text protein contact networks (PCN) were considered. Obtained results reveal duality of the PCNstructure which shares properties of both, the Watts-Strogatz and the Barabási-Albert graphs. Inconclusion, application of the random walk on networks in combination with universal multifractalmethodology, offers an extremely useful methodology not only for obtaining valuable results thatallow us for a better characterization of natural systems, but also for determining a new directionof the complex network research.

[1] P.Oswiecimka, L. Livi, S. Drozdz, Multifractal cross-correlation effects in two-variable timeseries of complex network vertex observables, Phys. Rev. E 94, 042307 (2016)

23


Impact of lexical and sentiment factors on the popularity of scientific papers

Juliusz Sienkiewicz1, E. G. Altmann2

Max Planck Institute for the Physics of Complex System, Dresden, Germany1 current address: Faculty of Physics, Center of Excellence for Complex Systems Research,

Warsaw University of Technology, Warsaw, Poland2 current address: School of Mathematics and Statistics, University of Sydney, Sydney, Australia

“How should I present my results in order to attract more attention and citations to my paper?” is aquestion that bothers many scientists. No wonder, scientists are increasingly evaluated by citationcounts and recent studies suggest that simple stylistic choices can affect it (e.g., “the shorter thetitle the more citations”). Is it really that simple? Well, apparently not. In my talk I will show howtextual properties of scientific papers relate to the number of citations they receive [1]. The mainfinding is that correlations are not linear and thus affect differently the most cited and typical papers.According to our research the short title recipe works only for the most cited papers, surprisinglyfor less popular ones it is even better to have a longer title. Quantile regression analysis of sixdifferent factors, calculated both at the title and abstract level of 4.3 million papers in over 1500journals, reveals the number of authors, and the length and complexity of the abstract, as havingthe strongest influence on the number of citations.

[1] J. Sienkiewicz, E. G. Altmann, Royal Society Open Science 3, 160140 (2016)

Social maps of science

Paweł Sobkowicz, Antoni Sobkowicz

KEN 94/140, 02-777 Warsaw, Poland

Recent years have documented an increasing interest in exploration of science as a dynamical socialphenomenon. Advances in data mining techniques, coupled with availability of machine readabledata, have allowed to construct and analyze multiple types of “maps of science”. Depending onthe interests, these maps may be based on citation networks, common research topics, emergingmemes, collaboration networks etc. Application of physics based tools to the analysis of thesemaps and networks has revealed several interesting regularities.

Our focus in on a less developed subject: mapping of science as perceived by the lay society.This is quite important due to the fact that the research and funding priorities depend largely onpolitical decisions, which, in turn depend on the perception and opinions of the society (at least fordemocratic countries). Therefore, understanding the reactions of nonspecialists to various researchdisciplines and topics, including emotional connotations to controversial areas, may prove impor-tant for the very future of research. Not only does science need to communicate better with thesociety (where scientific literacy is at the level of 20%), but also the research community needs tounderstand how the society sees our efforts, goals and achievements.

The research programme presented in this talk focuses on the use of datamining tools andstatistical analysis of various sources documenting the social maps of science, in particular onthe ways science is presented and communicated to the lay society and on the reactions to suchcommunications.

24


Phases of hadronic matter – looking for phase transitions in very small systems

Ludwik Turko


Statistical physics is now a standard theoretical tool to exploit high energy hadronic phenomena. Itwas initiated about seventy years ago with the introduction of statistical model to describe multi-production phenomena. With more and more involved experimental possibilities it’s appeared thatmore and more statistical physics concepts can be used in this field – although with some peculiar-ities related to the specific of hadronic interaction. The lecture would be devoted to the topic: Howlargest ever build equipment is used to find phase transitions in smallest possible systems and whatdoes it mean for the history of the Universe.

25

XXXVIII Max Born Symposium Posters with short oral presentations

Posters with short oral presentationsSoft body model for real time droplet simulation

Tomasz Bonus, Maciej Matyka


Fluid simulations are complicated and computationally intensive, making them difficult to performin real time. We suggest that using existing soft body model [1] we can get result which is veryclose to lifelike behaviour of single droplets. Main advantage of this method is that we performsimulation in real time, which makes easier to make changes in parameters of simulation withouttime-consuming calculations. This is achieved by basing model on a simple thermodynamic lawsand use of Clausius-Clapeyron equation to calculate pressure forces [2]: PV = nRT . Conceptof this method is to use the pressure force acting on each face of a closed surface of the model.Combining this approach with existing spring-mass engine we can simulate behaviour of singledroplets in real time [3]. We will present preliminary implementation of the soft body model. Thework will be continued and results compared to the droplet experiments will be shown on ICPSconferention later this year.

[1] M. Matyka. How To Implement a Pressure Soft Body Model, Wrocław, 2004[2] M. Matyka, M. Ollila. Pressure Model of Soft Body Simulation, Linköping, 2003[3] M. Jaruwan, G. Ratan, S. Chaudhry. 3D soft body simulation using mass-spring system with

internal pressure force and simplified implicit integration, Journal of Computers 2(8), 2007

Image formation in strong gravitational field: in neighborhood of black hole’s event horizon

Katarzyna Chajnowska, Jan Masajada, Andrzej Radosz

Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology,Wrocław, Poland

Faculty of Physics, Adam Mickiewicz University, Poznan, Poland

Communication between two observers is presented. Electromagnetic signal exchanged betweensource and receiver placed in gravitational field is described in terms of General Theory of Rela-tivity. Properties of light makes it both easiest in use and richest tool in consideration of how theobserver sees his surroundings. Light signal in terms of GTR are "null geodesics", they will beintroduced as worldlines for light rays, their emission and propagation through timespace will beinvestigated. Source and receiver are described as massless particles, one that emits the light inall directions, another collects the emission falling on established limited area, here tools of waveoptics were indispensable built in the model for seeing the record. Wide variety of cases is ob-served. The passage from classical timespace described in spherical coordinates to Schwarzschildcurved timespace is presented. Stronger gravitational field arises when placing observers closer tothe source of curvature which is spherical Schwarzschild black hole of radius rs = 3km. Next stepin investigation of signal exchange between two observers is extended by their free fall. Passagefrom static observer to radially falling is realized by usage of tools of Special Theory of Relativity.Relation between static and radially falling observers is shown.

26


Free energy and information transduction in biological molecular machines

Przemysław Chełminiak, Michal Kurzynski


The biological molecular machines are the nanoscopic devices that operate under stationary isother-mal conditions. The specific model of such an enzymatic machine with the stochastic conforma-tional dynamics defined on a critical complex network is studied. We argue that the two com-plementary processes, the free energy transduction and the processing of information, have to beconsidered on the equal footing. As a consequence, we show that if a properly organized machinehas a choice of the work performance in a variety of ways, it can create information on the expenseof entropy reduction. From this point of view, the processing of information is supposed to be achange of organization, which we identify with a corresponding fluctuating variable that specifiesa state of the system.

Pair approximation for the q-voter model with independence on complex networks

Arkadiusz Jedrzejewski

Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, WrocławUniversity of Science and Technology, Wrocław, Poland

We investigate the q-voter model with stochastic noise arising from independence on complexnetworks. Using the pair approximation, we provide a comprehensive, mathematical descriptionof its behavior and derive a formula for the critical point. The analytical results are validatedby carrying out Monte Carlo experiments. The pair approximation prediction exhibits substantialagreement with simulations, especially for networks with weak clustering and large average degree.Nonetheless, for the average degree close to q, some discrepancies originate. It is the first time weare aware of that the presented approach has been applied to the nonlinear voter dynamics withnoise. Up till now, the analytical results have been obtained only for a complete graph. We showthat in the limiting case the prediction of pair approximation coincides with the known solution ona fully connected network.

[1] A. Jedrzejewski, Pair approximation for the q-voter model with independence on complexnetworks, Phys. Rev. E 95, 012307 (2017)

27


Plasmon polariton propagation in ionic periodic structures and saltatory conduction model

Zofia Krzeminska, Oliwia Ziółkowska, Witold Jacak

Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology,Wrocław, Poland


The linear periodic structures of metallic nanoparticles are known to be plasmon waveguides char-acterized by realatively low damping. Analogically to the metallic nanoparticle chain the propa-gation of plasmon polariton along the chain of ionic spheres can be described. This descriptionis presented in the following poster. The ionic sphere model can be realised in biological struc-tures as an electrolyte system confined by a membrane. The example of such system is the nervecell consisting of periodically repeated myelinated sectors with the Schwann cells inside. Thus,based on the plasmon polariton propagation model, the saltatory conduction mechanism in axons isexplained. The fitting of plasmon polariton features to the parameters of an axon is also presented.

[1] W. Jacak, Propagation of Collective Surface Plasmons in Linear Periodic Ionic Structures:Plasmon Polariton Mechanism of Saltatory Conduction in Axons. J. Phys. Chem. C 119(18),10015-10030 (2015)

The Cantillon effect on a graph – an agent based model

B. Kusmierz, M. Machaj, K. Sznajd-Weron


In this presentation we propose and discuss agent based model of the Cantillon effect. The Cantilloneffect is a redistribution of goods caused by newly created money injected to the economy, in nonuniform manner. Cantillon showed that monetary inflation does not affect all prices equally, relativechanges in prices depend on the sources of new money and spending patterns of money owners.As money flows through channels of economy redistribution of wealth takes place. Goods arereallocated from from those who get new money last to those who get new money first.

We analyze Cantillon effect with agent based model. Considered agents are confined withingraph structure. We divide them into groups based on how quickly they get new money. Eachagent can create products and sell them to other agents in exchange for money. Money is laterreused for other purchases. At the end of a simulation we evaluate quantity goods available to theagents in each group. Impact of Cantillon effect is revealed by comparison of wealth available toagents in different groups. We examine redistribution effects that take place for different quantitiesof money injected into economy: form slight deflation to hyperinflationary cases.

28


The hunt opinion model – an agent based approach to recurring fashion cycles

Grzegorz Marcjasz

Faculty of Pure and Applied Mathematics, Wrocław University of Science and TechnologyWrocław, Poland

We study a simple agent-based model of the recurring fashion cycles in the society that consistsof two interacting communities: “snobs" and “followers" (or “opinion hunters", hence the nameof the model). Followers conform to all other individuals, whereas snobs conform only to theirown group and anticonform to the other. The model allows to examine the role of the social struc-ture, i.e. the influence of the number of inter-links between the two communities, as well as therole of the stability of links. The latter is accomplished by considering two versions of the samemodel – quenched (parameterized by fraction L of fixed inter-links) and annealed (parameterizedby probability p that a given inter-link exists).

Using Monte Carlo simulations and analytical treatment (the latter only for the annealed model),we show that there is a critical fraction of inter-links, above which recurring cycles occur. For p ≤0.5 we derive a relation between parameters L and p that allows to compare both models and showthat the critical value of inter-connections, p∗, is the same for both versions of the model (annealedand quenched) but the period of a fashion cycle is shorter for the quenched model. Near the criticalpoint, the cycles are irregular and a change of fashion is difficult to predict. For the annealed modelwe also provide a deeper theoretical analysis. We conjecture on topological grounds that the so-called saddle node heteroclinic bifurcation appears at p∗. For p ≥ 0.5 we show analytically theexistence of the second critical value of p, for which the system undergoes Hopf’s bifurcation.

[1] Apriasz R, Krueger T, Marcjasz G, Sznajd- Weron K, The Hunt Opinion Model - An AgentBased Approach to Recurring Fashion Cycles. PLoS ONE 11(11): e0166323 (2016)

This work is partially supported by funds from the National Science Centre (NCN, Poland) throughgrant no. 2016/21/B/HS6/01256.

29


Zero temperature coarsening in Ising model with asymmetric second neighbour interactionin two dimensions

Pratik Mullick, Parongama Sen

Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata700009, India

We consider the zero temperature coarsening in the Ising model in two dimensions where the spinsinteract within the Moore neighbourhood. The Hamiltonian is given by H = −Σ<i,j>SiSj −κΣ<i,j′>SiSj′

where the two terms are for the first neighbours and second neighbours respectivelyand κ ≥ 0. The freezing phenomena, already noted in two dimensions for κ = 0, is seen to bepresent for any κ. However, the frozen states show more complicated structure as κ is increased;e.g. local anti-ferromagnetic motifs can exist for κ > 2. Finite sized systems also show the exis-tence of an iso-energic active phase for κ > 2 , which vanishes in the thermodynamic limit. Thepersistence probability shows universal behaviour for κ > 0, however it is clearly different fromthe κ = 0 results when non-homogeneous initial condition is considered. Exit probability showsuniversal behaviour for all κ ≥ 0. The results are compared with other models in two dimensionshaving interactions beyond the first neighbour.

Stable marriage problem under random encounters – Why universal taste could bebeneficial for mating process?

Piotr Nyczka

Jacobs University Bremen, Germany

Stable marriage problem is very well known topic. However there is still plenty of room for furtherinvestigation. In my presentation I will discuss process of reaching the stable state in the systemconsisting of two different types of agents. Agents from two sets (eg. men and women) undergorandom encounters and then decide whether they want to be together or not. They want to form anew couple only in the case where, as a result of this change, both of them will end up with "bet-ter" partner than actual one. Each agent have its personal ranking list with "attraciveness" scoresfor potential partners of opposite sex and it’s possible to make network out of these lists. In mypresentation I will focus on relation between structure of this network, and timescale of process ofreaching stable state. There is very strong and interesting relation between them, definitely worthof further investigation.

30


Web-based physics simulation in scientific application

Maciej Matyka


In 2011 Elsevier has announced the Executable Paper Grand Challenge and addressed the problemthat computer science research can be difficult to repeat and reproduce [1]. Until now there is nosingle accepted way of scientific presentation that would go beyond a static PDF document or awebsite with interactive graphs and animations.

Based on my past work on tortuosity in porous media flow [2] I will present the concept andpreliminary results of an interactive document related to this subject which has a simulation codebuilt-in the content of the article. The basic idea is that the reader is able to run simulations andinfluence the content of the article by changing its parameters.

To implement the idea I choosed the HTML5 with Javascript which allows to run simulationson the client-side. This allows to run the software at any device with the web browser withoutany effort to set-up the enviroment. I will discuss the end application and usage of the third-partylibraries that could potentially speed up the development process, i.e. Bootstrap, Dygraphs [3],MathJax.JS [4], React.JS [5] and Web Assembly [6].

[1] (internet,2017) https://www.elsevier.com/connect/the-article-of-the-future[2] Matyka, M., Khalili, A. and Koza, Z., Tortuosity-porosity relation in the porous media flow,

Phys. Rev. E 78, 026306 (2008)[3] (internet,2017) http://dygraphs.com/[4] (internet,2017) https://www.mathjax.org/[5] (internet,2017) https://facebook.github.io/react/[6] (internet,2017) https://en.wikipedia.org/wiki/WebAssembly

The presentation has been prepared as a part of the Support Programme of the Partnership betweenHigher Education and Science and Business Activity Sector financed by City of Wrocław.

31


Modeling atrial fibrillation formation by multilayer cellular automata

Krzysztof Pastuszak1,2, Danuta Makowiec3

1Department of Algorithms and Systems Modeling, Faculty of Electronics, Telecommunication andInformatic, Gdansk University of Technology

2Department of Probability Calculus and Biomathematics, Faculty of Technical Physics andApplied Mathematics, Gdansk University of Technology

3Institute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics andInformatics, University of Gdansk

Atrial fibrillation is one of the most common sustained abnormal heart rhytm [1]. Continous modelshave been shown to reproduce the macroscopic behaviour [2], however they fail to capture themicroscopic effects of fibrosis [2]. Discrete, cellular automata based models have been successfullyused to reproduce the phenomena of spiral waves formation in atrial fibrillation [3, 4, 5, 6]. In thefollowing a multilayer cellular automata model, inspired by [5], is presented. Fibrosis is simulatedby the introduction of collagen fibers, and by regulation of a number of lateral crossconnections.Effects on spiral waves formation and wave propagation speed are examined. Single and multilayermodels are compared. The results were obtained by performing numerical simulations.

[1] A. John Camm Paulus Kirchhof et al., Guidelines for the management of atrial fibrillation:The Task Force for the Management of Atrial Fibrillation of the European Society of Cardi-ology (ESC), Eur. Heart J. 31, 2369 (2010).

[2] Tanmay A. Gokhale, Eli Medvescek, Craig S. Henriquez Continuous models fail to capturedetails of reentry in fibrotic myocardium, Computing in Cardiology Conference, 2016.

[3] Kishan A. Manani, Kim Christensen, Nicholas S. Peters, Myocardial Architecture and PatientVariability in Clinical Patterns of Atrial Fibrillation, PRL 94, 042401 (2016).

[4] Gil Bub, Alvin Shrier, Leon Glass, Spiral Wave Generation in Heterogeneous Excitable Me-dia, PRL 88, 058101 (2002).

[5] Kim Christensen, Kishan A. Manani, Nicholas S. Peters, Simple Model for Identifying Crit-ical Regions in Atrial Fibrillation, PRL 114, 028104 (2015).

[6] Gil Bub, Alvin Shrier, Leon Glass Global Organization of Dynamics in Oscillatory Hetero-geneous Excitable Media, PRL 94, 028105 (2005).

32


Complex kinetics of guest molecules in all-optical poling: Monte Carlo modeling

Wojciech Radosz

Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, WrocławUniversity of Science and Technology, Wrocław, Polan

We study the kinetics of guest (azo-dye) molecules in host (model polymer) system using bond-fluctuation model. Via different parameters (V,C) that describe polymer system’s microscopicproperties, we generalize kinetic Monte Carlo model onto the case of all-optical poling. Surround-ings of glass temperature Tg are investigated. Properties of the system changes drastically closeto Tg. Glass transition is manifested by many results of azo-dye molecules kinetics in nontrivialway, pointing out the complex character of the system. Moreover the dynamics of all-optical polingoffers a fairly accurate measure for localization of Tg.

The q-voter model with nonconformity in freely forming groups – does the size distributionmatters?

Wojciech Radosz, Adam Mielnik-Pyszczorski, Marta Brzezinska, Katarzyna Sznajd-Weron


We study a q-voter model with stochastic driving on a complete graph with q being a random vari-able described by probability density function P (q), instead of a constant value. We investigatetwo types of P (q): (1) artificial with the fixed expected value 〈q〉, but a changing variance and (2)empirical of freely forming groups in informal places. We investigate also two types of stochastic-ity that can be interpreted as different kinds of nonconformity (anticonformity or independence) toanswer the question about differences observed at the macroscopic level between these two typesof nonconformity in real social systems. Moreover, we ask the question if the behavior of a systemdepends on the average value of the group size q or rather on probability distribution function P (q).


33


Exit probability in inflow dynamics

Parna Roy

Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata700009, India

Of late, there is a debate on whether inflow dynamics is different from outflow dynamics. To settlethe debate, exit probability E(x) is one of the important features that has been studied for modelswith inflow and outflow dynamics. We have studied several models in one dimension where thestates are represented by Ising spins and the information flows inward. For models involving spins,exit probability is the probability that the system ends up in a state where all the spins are up start-ing with x fraction of up spins. For all the models exit probability is found to have a general formE(x) = xα

xα+(1−x)α. The exit probability exponent α depends on different factors incorporated in

the dynamics. We have also estimated analytical expressions for E(x) using Kirkwood approxima-tion for models with either nearest neighbor interactions or both nearest and next nearest neighborinteractions and compared the results with those obtained by numerical simulations.

Asymptotic behaviour of time averages for non-ergodic Gaussian processes

Jakub Slezak

Department of Applied Mathematics, Faculty of Pure and Applied Mathematics, WrocławUniversity of Science and Technology, Wrocław, Poland

We study the behaviour of time-averages for stationary (non-ageing), but ergodicity-breaking Gaus-sian processes using their representation in Fourier space and provide various explicit formulas fortime-averaged quantities, such as mean square displacement and density. Additionally, we showapplications of the ergodic criteria in Fourier space, determining the ergodicity of the generalisedLangevin equation’s solutions.

34


The interplay between conformity and anticonformity and its polarizing effect on society

Tomasz Weron

Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology,Wrocław, Poland

Simmering debates leading to polarization are observed in many domains. Although empiricalfindings show a strong correlation between this phenomenon and modularity of a social network,still little is known about the actual mechanisms driving communities to conflicting opinions. In thispaper, we use an agent-based model to check if the polarization may be induced by a competitionbetween two types of social response: conformity and anticonformity. The proposed model buildson the q-voter model and uses a double-clique topology in order to capture segmentation of acommunity.

Our results indicate that the interplay between intra-clique conformity and inter-clique anticon-formity may indeed lead to a bi-polarized state of the entire system. We have found a dynamicphase transition controlled by the fraction L of negative cross-links between cliques. In the regimeof small values of L the system is able to reach the total positive consensus. If the values of Lare large enough, anticonformity takes over and the system always ends up in a polarized stated.Putting it the other way around, the segmentation of the network is not a sufficient condition for thepolarization to appear. A suitable level of antagonistic interactions between segments is required toarrive at a polarized steady state within our model.

[1] P. Siedlecki, J. Szwabinski and T. Weron, The Interplay Between Conformity and Anticonfor-mity and its Polarizing Effect on Society, Journal of Artificial Societies and Social Simulation19 (4) 9 (2016)

[2] T. Krueger, J. Szwabinski, T. Weron, Conformity, anticonformity and polarization of opin-ions: insights from a mathematical model of opinion dynamics, Preprint arXiv:1608.08810


Effective Action and Phase Diagram of a Model of Superconductivity with PopulationImbalance

Piotr Zdybel, Paweł Jakubczyk

Chair of Condensed Matter Physics,Institute of Theoretical Physics,Faculty of Physics,Universityof Warsaw, ul. Pasteura 5, 02-093 Warsaw, Poland

Motivated by the growing number of high temperature superconductors characterized by quasitwo-dimensional layers structure, we investigate thermodynamic properties and the structure of theeffective action in a model describing singlet superconductivity with population imbalance. Thecorresponding effective action is obtained within the path-integral formalism. We compute themean-field phase diagram for the model. The obtained form of the effective action, which includesfluctuation term, is a natural starting point for a renormalization procedure.

35

Thursday 18.05.2017 Friday 19.05.2017 Saturday 20.05.2017

09:00 – 09:40Opening M. Ausloos M. & S. Cebrat

09:40 – 10:20A. Pękalski P. M. de Oliveira W. Kwaśnicki

10:20 – 11:00M. Droz H. Taitelbaum

K. Kułakowski

P. Sobkowicz

11:00 – 11:30 Coffee Break Coffee Break Coffee Break

11:30 – 12:10 J. Sznajd I. SimonsenJ. Sienkiewicz

M. Dudek

12:10 – 12:50 J. IndekeuL. Turko

M. KurzyńskiA. ChmielJ. Miśkiewicz

12:50 – 14:30 Lunch Break Lunch Break

P. Nyczka

Closing

14:30 – 14:50 D. MakowiecR. Kutner

14:50 – 15:10 B. Dybiec

15:10 – 15:30 A. Krawiecki P. Oświęcimka

15:30 – 15:50 P. Garbaczewski J. Hołyst

15:50 – 16:10 C. Mesjasz D. Grech

16:10 – 16:40 Coffee Break Coffee Break

16:40 – 18:00 gong + poster session gong + poster session