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Title: Thermodynamic Entropy as a Noether Invariant.
Authors: Sasa, Shin-Ichi
Yokokura, Yuki
Author's alias: 佐々, 真一
横倉, 祐貴
Issue Date: 8-Apr-2016
Publisher: American Physical Society
Journal title: Physical review letters
Volume: 116
Issue: 14
Thesis number: 140601
Abstract: We study a classical many-particle system with an external control represented by a time-dependent extensive parameter in a Lagrangian. We show that thermodynamic entropy of the system is uniquely characterized as the Noether invariant associated with a symmetry for an infinitesimal nonuniform time translation t→t+ηℏβ, where η is a small parameter, ℏ is the Planck constant, β is the inverse temperature that depends on the energy and control parameter, and trajectories in the phase space are restricted to those consistent with quasistatic processes in thermodynamics.
Description: 乱雑さを決める時間の対称性を発見-100年前の物理と数学の融合が築くミクロとマクロの架け橋-. 京都大学プレスリリース. 2016-05-24.
Rights: © 2016 American Physical Society
DOI(Published Version): 10.1103/PhysRevLett.116.140601
PubMed ID: 27104690
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