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.
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.