Thermodynamic Entropy as a Noether Invariant.
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
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- Physical review letters
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Physical review letters 116 (14), 2016-04-08
American Physical Society
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Details 詳細情報について
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- CRID
- 1050282810809509504
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- NII Article ID
- 120005758231
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- ISSN
- 10797114
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- HANDLE
- 2433/212493
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles