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 , where is a small parameter, is the Planck constant, 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