Dresden 2026 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 27: Statistical Physics far from Thermal Equilibrium II

DY 27.5: Vortrag

Dienstag, 10. März 2026, 15:00–15:15, ZEU/0114

Role of kinetics in mesoscopic dynamics of a driven Potts model — •Maciej Chudak¹, Massimiliano Esposito², and Krzysztof Ptaszyński¹ — ¹Institute of Molecular Physics, Polish Academy of Sciences, Mariana Smoluchowskiego 17, 60-179 Poznań, Poland — ²Department of Physics and Materials Science, University of Luxembourg, 30 Avenue des Hauts-Fourneaux, L-4362 Esch-sur-Alzette, Luxembourg

The Potts model is a generalization of the Ising model, where spins can take more than two states. We study a driven three-state non-equilibrium Potts model with homogeneous all-to-all coupling. At a macroscopic level, this model exhibits complex behavior such as synchronization and persistent oscillations (limit cycles). In the mean-field limit the model dynamics is described via deterministic equations of motion. Choice of the transition rate function can reshape the phase diagram of the model. We identified seven distinct dynamical phases separated by seven bifurcation types. Beyond the mean-field analysis, we characterize the effect of rare fluctuations on the model behavior. We determine the coherence lifetime of the oscillations and compare it to a thermodynamic bound given by the entropy production per cycle. The trade-off between coherence lifetime and entropy production can be fine-tuned. We characterize the rare stochastic transitions among the coexisting mean-field attractors using the instanton approach. Such transitions tend to relax the system to a single attractor that determines the macroscopic behavior of the model. In case of multistability, the ordered state is usually the most likely.

Keywords: stochastic physics; large deviation theory; phase transitions; non-equilibrium thermodynamics