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DY: Fachverband Dynamik und Statistische Physik
DY 9: Statistical Physics far from Thermal Equilibrium I
DY 9.1: Talk
Monday, March 9, 2026, 09:30–09:45, ZEU/0160
Dissipation enables robust extensive scaling of multipartite correlations — •Krzysztof Ptaszyński1,2, Maciej Chudak1, and Massimiliano Esposito2 — 1Institute of Molecular Physics, Polish Academy of Sciences, Mariana Smoluchowskiego 17, 60-179 Poznań, Poland — 2Complex Systems and Statistical Mechanics, Department of Physics and Materials Science, University of Luxembourg, 30 Avenue des Hauts-Fourneaux, L-4362 Esch-sur-Alzette, Luxembourg
We investigate the multipartite mutual information between N discrete-state stochastic units interacting in a network that is invariant under unit permutations [1]. We show that when the system relaxes to fixed point attractors, multipartite correlations in the stationary state either do not scale extensively with N, or the extensive scaling is not robust to arbitrarily small perturbations of the system dynamics. In particular, robust extensive scaling cannot occur in thermodynamic equilibrium. In contrast, mutual information scales extensively when the system relaxes to time-dependent attractors (e.g., limit cycles), which can occur only far from equilibrium. This demonstrates the essential role of dissipation in the generation and maintenance of multipartite correlations. We illustrate our theory with the nonequilibrium Potts model. Finally, we present a generalization of our approach to permutation-invariant open quantum systems [2].
[1] Phys. Rev. Lett. 135, 057401 (2025)
[2] Phys. Rev. E 112, 054137 (2025)
Keywords: Dissipation; Multipartite correlations; Information theory; Stochastic thermodynamics
