Thermodynamic entropy as a Noether invariant in a Langevin equation
Statistical Mechanics
2020-02-19 v1
Abstract
We study the thermodynamic entropy as a Noether invariant in a stochastic process. Following the Onsager theory, we consider the Langevin equation for a thermodynamic variable in a thermally isolated system. By analyzing the Martin-Siggia-Rose-Janssen-de Dominicis action of the Langevin equation, we find that this action possesses a continuous symmetry in quasi-static processes, which leads to the thermodynamic entropy as the Noether invariant for the symmetry.
Keywords
Cite
@article{arxiv.1909.13205,
title = {Thermodynamic entropy as a Noether invariant in a Langevin equation},
author = {Yuki Minami and Shin-ichi Sasa},
journal= {arXiv preprint arXiv:1909.13205},
year = {2020}
}
Comments
12 pages, 2 figures