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Entropy production and Onsager reciprocal relations describing the relaxation to equilibrium in stochastic thermodynamics

Abstract : We study the relation between stochastic thermodynamics and non-equilibrium thermodynamics by evaluating the entropy production and the relation between fluxes and forces in a harmonic system with N particles in contact with N different reservoirs. We suppose that the system is in a non-equilibrium stationary state in a first phase and we study the relaxation to equilibrium in a second phase. During this relaxation, we can identify the linear relation between fluxes and forces satisfying the Onsager reciprocity and we obtain a nonlinear expression for the entropy production. Only when forces and fluxes are small, the entropic production turns into a quadratic form in the forces, as predicted by the Onsager theory.
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https://hal.archives-ouvertes.fr/hal-03236065
Contributor : Stefano Giordano <>
Submitted on : Wednesday, May 26, 2021 - 10:16:01 AM
Last modification on : Tuesday, June 15, 2021 - 12:41:14 PM

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Stefano Giordano. Entropy production and Onsager reciprocal relations describing the relaxation to equilibrium in stochastic thermodynamics. Physical Review E , American Physical Society (APS), 2021, 103 (5), ⟨10.1103/PhysRevE.103.052116⟩. ⟨hal-03236065⟩

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