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DY: Fachverband Dynamik und Statistische Physik

DY 6: Statistical Physics far from Thermal Equilibrium I

DY 6.2: Talk

Monday, March 18, 2024, 10:00–10:15, BH-N 334

Minimum-dissipation principle for synchronised stochastic oscillators far from equilibrium — •Jan Meibohm^1,2 and Massimiliano Esposito³ — ¹Technische Universität Berlin, Straße des 17. Juni 135, 10623 Berlin, Germany — ²Department of Mathematics, King's College London, London WC2R 2LS, United Kingdom — ³Complex Systems and Statistical Mechanics, Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg

We study driven q-state Potts models with thermodynamically consistent dynamics and global coupling. For a broad range of parameters, these coupled-oscillator models exhibit a dynamical phase transition from a decoherent into a synchronised phase. We derive the normal form of the high-dimensional Hopf-Bifurcation that underlies the phase transition, for arbitrary dynamics and for all q. The normal-form equations are exact in the thermodynamic limit and close to the bifurcation. Making use of the symmetries, we solve these equations exactly and thus uncover the intricate long-time behaviour of driven Potts models, characterised by a rich phase diagram. Connecting with the macroscopic thermodynamics, we show that synchronisation always reduces dissipation. Remarkably, we find that the most stable synchronised states dissipate the least entropy. Close to the phase transition, we discover a linear dissipation-stability relation that connects dissipation with phase-space contraction, a widely-used stability measure. Our findings suggest a minimum-dissipation principle for driven Potts models that holds arbitrarily far from equilibrium.

Keywords: Potts model; dynamical phase transitions; entropy production; synchronization; minimum-dissipation principle