Thermodynamic Entropy as a Noether Invariant.

HANDLE Open Access

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.

Journal

Details 詳細情報について

  • CRID
    1050282810809509504
  • NII Article ID
    120005758231
  • ISSN
    10797114
  • HANDLE
    2433/212493
  • Text Lang
    en
  • Article Type
    journal article
  • Data Source
    • IRDB
    • CiNii Articles

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