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Nonequilibrium Relaxation Inequality on Short Timescales

2025/02/28 by Andrea Auconi · 1 voice
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Gas Dynamics and Kinetic Theory #Thermal Radiation and Cooling Technologies

paper · doi:10.1103/physrevlett.134.087104

openalex publication_date 2025/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

An integral relation is derived from the Fokker-Planck equation which connects the steady-state probability currents with the dynamics of relaxation on short timescales in the limit of small perturbation fields. As a consequence of this integral relation, a general lower bound on the steady-state entropy production is obtained. Two particular ensembles of perturbation fields are then considered, respectively constant gradients and density displacements, and correspondingly two different averaging-based thermodynamic bounds are derived from the integral relation. These provide feasible methods to estimate the steady-state entropy production from relaxation experiments.

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