Publication : t19/110

Statistical physics of long dynamical trajectories for a system in contact with several thermal reservoirs

Monthus C. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Abstract:
For a system in contact with several reservoirs r at different inverse-temperatures βr, we describe how the Markov jump dynamics with the generalized detailed balance condition can be analyzed via a statistical physics approach of dynamical trajectories [C(t)]0≤t≤T over a long time interval T→+∞. The relevant intensive variables are the time-empirical density ρ(C), that measures the fractions of time spent in the various configurations C, and the time-empirical jump densities kr(C′,C), that measure the frequencies of jumps from configuration C to configuration C′ when it is the reservoir r that furnishes or absorbs the corresponding energy difference (E(C′)−E(C)).
Année de publication : 2019
Revue : J. Phys. A 52 485001 (2019)
DOI : 10.1088/1751-8121/ab4f1a
Preprint : arXiv:1906.03606
Keywords : Statistical Mechanics (cond-mat.stat-mech)
Langue : Anglais

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