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Thermodynamic Entropy as a Noether Invariant

Shin-ichi Sasa and Yuki Yokokura
Phys. Rev. Lett. 116, 140601 – Published 7 April 2016
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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 tt+ηβ, where η is a small parameter, 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.

  • Received 8 October 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.140601

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Shin-ichi Sasa

  • Department of Physics, Kyoto University, Kyoto 606-8502, Japan

Yuki Yokokura

  • International Centre for Theoretical Sciences, Survey No. 151, Shivakote, Hesaraghatta Hobli, Bengaluru North 560 089, India
  • iTHES Research Group, RIKEN, Wako, Saitama 351-0198, Japan

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Issue

Vol. 116, Iss. 14 — 8 April 2016

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