Dissipative work, Clausius inequality, and microscopic reversibility for open Hamiltonian systems

2013/07/03 by Takaaki Monnai, Monnai, Takaaki
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Control and Stability of Dynamical Systems #FOS: Physical sciences #Mathematical Biology Tumor Growth #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.1307.0944

openalex publication_date 2013/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive a microscopic expression of the Clausius inequality for isothermal open systems within the fundamental Hamiltonian dynamics. We also show the positivity of the dissipative work, which is a path integral generalization of the so-called relative entropy for the probability functionals of time forward- and reversed- trajectories.

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