SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 28: Focus Session: Critical Transitions in Society, Economy, and Nature (joint session SOE/DY)

DY 28.2: Topical Talk

Mittwoch, 29. März 2023, 10:00–10:30, ZEU 260

Nonequilibrium phase transitions and critical behavior in networks — •Eckehard Schöll — Institut für Theoretische Physik, TU Berlin — Potsdam Institute for Climate Impact Research — Bernstein Center for Computational Neuroscience Berlin

Phase transitions in nonlinear dynamical systems far from thermodynamic equilibrium have been investigated since the 1970s and 1980s, and concepts from thermodynamics and statistical physics have been applied to describe self-organization, spatio-temporal pattern formation, phase coexistence, critical phenomena, and first and second order nonequilibrium phase transitions. Much more recently, phase transitions and critical phenomena have been studied in dynamical networks, where synchronization transitions may arise, giving birth to a plethora of partial synchronization patterns and complex collective behavior, with applications to many natural, socioeconomic, and technological systems. We review these developments, and draw some connections of tipping transitions, explosive synchronization, nucleation, critical slowing down, critical exponents, etc. with nonequilibrium thermodynamics. [1] Tumash, L., Olmi, S. and Schöll, E., Effect of disorder and noise in shaping the dynamics of power grids, Europhys. Lett. 123, 20001 (2018). [2] Berner, R., Sawicki, J., Thiele, M., Löser, T. and Schöll, E., Critical parameters in dynamic network modeling of sepsis, Front. Netw. Physiol. 2, 904480 (2022). [3] Fialkowski, J., Yanchuk, S., Sokolov, I. M. , Schöll, E., Gottwald, G. A. and Berner, R., Heterogeneous nucleation in finite size adaptive dynamical networks, arXiv:2207.02939 (2022).