A Detailed Fluctuation Theorem for Heat Fluxes in Harmonic Networks out of Thermal Equilibrium

Mondher Damak (1) , Mayssa Hammami (2) , Claude-Alain Pillet (3, 4)

1 Université de Sfax - University of Sfax
2 Département de Mathematiques [Sfax]
3 CPT - E5 Physique statistique et systèmes complexes
4 CPT - Centre de Physique Théorique - UMR 7332

We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study the statistics of the fluctuations of the heat fluxes flowing between the network and the reservoirs in the nonequilibrium steady state and in the large time limit. We prove a large deviation principle for these fluctuations and derive the fluctuation relation satisfied by the associated rate function.

Mots clés: Fluctuation Relations; Large Deviations; Entropy Production; Heat Fluxes; Nonequilibrium Steady State

Domaines: Physique mathématique [math-ph]

Mondher Damak, Mayssa Hammami, Claude-Alain Pillet. A Detailed Fluctuation Theorem for Heat Fluxes in Harmonic Networks out of Thermal Equilibrium. Journal of Statistical Physics, 2020, 180 (1-6), pp.263-296. ⟨10.1007/s10955-019-02398-x⟩. ⟨hal-02124194v2⟩