The project PN-III-P4-ID-PCE-2016-0363 entitled "Emerging spatio-temporal patterns in physical and socio-economic systems" is a research project funded by the Romanian National Authority for Scientific Research, UEFISCDI. The total budget of the project is 850 000 lei.

Short description of the project

Research topic

The classical methods and models of statistical physics will be used for studying emerging spatio-temporal patterns in physical and socio-economic systems. Beside general aspects and tools for approaching pattern formation in interactive man-body systems, the research will focus on three particular problems.

(1) The first problem considers synchronization properties in a ring of locally coupled Kuramoto type oscillators with a time-delayed interaction. In this system interesting phase-blocked synchronization phases in form of rotating waves will appear and their occurrence probability shows a nontrivial pattern. With increasing coupling distance we expect also chimera states to appear, and our aim is to predict the appearance of such states as a function of the imposed interaction between the oscillators and other relevant system parameters. We will search for physical and socio-economic phenomena where such collective behavior patterns are characteristic.

(2) The second problem we consider in the project is the origin of scaling laws in human travel. More specifically we are interested in describing how the commuters flux is decreasing as a function of distance and transited population. Our task is to analyze commuting patterns in Romania and Hungary using the latest census data and to develop an analytical approximation beyond the classical gravitational-type models and the recently introduced radiation model. Our approach is based on our experimental finding that the flux depends in a nontrivial manner both on distance and transited population.

(3) The third problem which will be investigated is the depinning transition observable on inhomogeneous surfaces during the dewetting process of a thin fluid layer. By using an elegant mesoscopic molecular dynamics simulation method we will model the phenomena on patterned surfaces. With a simple experimental setup we plan to realize experimentally this transition and study its dependence on model parameters.

Linked documents

Results

Progress reports and publications

2019

Dénes Károly, Sándor Bulcsú, Néda Zoltán, Pattern selection in a ring of Kuramoto oscillators, Commun Nonlinear Sci Numer Simulat, vol. 78, 104868, DOI: 10.1016/j.cnsns.2019.104868 (2019) - watch the video abstract
Papp István, Varga Levente, Afifi Mounir, Gere István, Néda Zoltán, Scaling in the space-time of the Internet, Scientific Reports, vol. 9, 9734, DOI: 10.1038/s41598-019-46208-6 (2019) - watch the video abstract
Dénes Károly, Sándor Bulcsú, Néda Zoltán, On the predictability of the final state in a ring of Kuramoto rotators, Rom. Rep. Phys., vol. 71, 108, link: http://www.rrp.infim.ro/2019/AN71108.pdf (2019)

2018

Scientific report 2018 (RO)
Tamás Sándor Biró, András Telcs and Zoltán Néda, Entropic Distance for Nonlinear Master Equation, Universe, vol. 4, 10, DOI: 10.3390/universe4010010 (2018)
T.S. Biró, Z. Néda, Unidirectional random growth with resetting, Physica A, vol. 499, 335–361, DOI: 10.1016/j.physa.2018.02.078 (2018)
Sándor Kajántó, Zoltán Néda, Universality in the coarse-grained fluctuations for a class of linear dynamical systems, Physica A, vol. 503, 215–220, DOI: 10.1016/j.physa.2018.02.205 (2018)

2017

Scientific report 2017 (RO)
K. Dénes, B. Sándor and Z. Néda, Predicting the final collective mode for Kuramoto oscillators in a ring-like topology, preprint (2017)
Z. Néda, F. Járai-Szabó and Sz. Boda, Cell-size distribution and scaling in a one-dimensional Kolmogorov-Johnson-Mehl-Avrami lattice model with continuous nucleation, Physical Review E, vol. 96, 042145, DOI: 10.1103/PhysRevE.96.042145 (2017)
T.S. Biro, A. Telcs and Z. Neda, Entropic Distance for Nonlinear Master Equation, submitted to Universe, arXiv: 1711.02364v1[cond-mat.stat-mech] (2017)

Conference presentations

2019

B. Tyukodi, Y. Brechet, E. Bogya and Z. Neda, Depinning transition of a soft dewetting line, oral presentation at: Avalanche dynamics and Precursors of Catastrophic Events, Les Houches, 4-8 Feb. 2019 (France), Abstract booklet - PDF
B. Tyukodi Y. Brechet, E. Bogya, F. Jarai-Szabo and Z. Neda, Dewetting transition on controlled surfaces, poster at: MECO 44, Conference of the Middle European Cooperation: KEy Challenges in Statistical Physics, Kloster Seeon, 1-3 May, 2019 (Germany), Conference website
Z. Neda, A. Gergely and B. Sandor, Flickering candle flames and their emergent synchronization. An experimental and dynamical systems approach, oral presentation at: Dynamics Days, Europe 2019, Rostock. 2-6 Sept. 2019, (Germany), Conference website
K. Denes, B. Sandor and Z. Neda, Bifurcations in systems of Kuramoto oscillators with delayed coupling, poster presentation at: Dynamics Days, Europe 2019, Rostock. 2-6 Sept. 2019, (Germany), Conference website

2018

K. Denes, B. Sandor and Z. Neda, Pattern selection in a ring of Kuramoto rotators, AMCOS (Analysis and Modeling of Complex Oscillatory Systems), Barcelona, Spain, 19-23 March, 2018, Book of Abstracts - PDF
Z. Neda, L. Varga and T. Biro, A master equation approach to Science and Facebook popularity, MECO 43 (43rd Conferences of the Middle European Cooperation in Statistical Physics), Krakow, Poland, 1-4 May, 2018, Book of Abstracts, PDF
K. Denes, B. Sandor and Z. Neda, Collective modes of identical Kuramoto rotators in a ring-like topology, MECO 43 (43rd Conferences of the Middle European Cooperation in Statistical Physics), Krakow, Poland, 1-4 May, 2018, Book of Abstracts, PDF
I. Papp, M. Afifi, L. Varga. I. Gere and Z. Neda, Scaling in the space-time of the Internet, MECO 43 (43rd Conferences of the Middle European Cooperation in Statistical Physics), Krakow, Poland, 1-4 May, 2018, Book of Abstracts, PDF
L. Varga, G. Toth and Z. Neda, An improved radiation model and its applicability for understanding commuting patterns in the USA, MECO 43 (43rd Conferences of the Middle European Cooperation in Statistical Physics), Krakow, Poland, 1-4 May, 2018, Book of Abstracts, PDF
K. Denes, B. Sandor and Z. Neda, Collective modes of identical Kuramoto rotators in a ring-like topology, MACS 12 (12th Joint Conferece on Mathematics and Computer Science), Cluj, Romania, 14-17 June, 2018, Book of Abstracts, PDF
T.S. Biro and Z. Neda, Random growth with reset: complex systems in a new perspective, MACS 12 (12th Joint Conferece on Mathematics and Computer Science), Cluj, Romania, 14-17 June, 2018, Book of Abstracts, PDF
L. Varga, G. Toth and Z. Neda, Commuting patterns: a modified radiation model and supporting data, MACS 12 (12th Joint Conferece on Mathematics and Computer Science), Cluj, Romania, 14-17 June, 2018, Book of Abstracts, PDF
I. Papp, M. Afifi, L. Varga, I. Gere and Z. Neda, Nontrivial dynamical scaling in the Internet: experiments and a simple model, MACS 12 (12th Joint Conferece on Mathematics and Computer Science), Cluj, Romania, 14-17 June, 2018, Book of Abstracts, PDF
F. Járai-Szabó, S. Boda and Z. Néda, On the KJMA lattice model with continuous nucleation, MACS 12 (12th Joint Conferece on Mathematics and Computer Science), Cluj, Romania, 14-17 June, 2018, Book of Abstracts, PDF

2017

K. Dénes, B. Sándor and Z. Néda, Kuramoto oscillators in a ring-like topology, SigmaPhi 2017 (Statistical Physics Conference), Corfu, Greece, 10-14 July, 2017, Book of Abstracts (ISBN 13 9788890529696) pg. 28
Z. Néda, L. Davidova, S. Újvári and G. Istrate, Ruin game on random graphs, SigmaPhi 2017 (Statistical Physics Conference), Corfu, Greece, 10-14 July, 2017, Book of Abstracts (ISBN 13 9788890529696) pg. 82