Thermodynamics without ergodicity
Statistical Mechanics
2018-11-13 v1 Classical Physics
Abstract
We show that fundamental thermodynamic relations can be derived from deterministic mechanics for a non-ergodic system. This extend a similar derivation for ergodic systems and suggests that ergodicity should not be considered as a requirement for a system to exhibit a thermodynamic behavior. Our analysis emphasizes the role of adiabatic invariants in deterministic description and strengthens the link between mechanics and thermodynamics. In particular, we argue that macroscopic thermodynamic behavior of a system is caused by the existence of different time scales in its deterministic microscopic evolution.
Cite
@article{arxiv.1811.04591,
title = {Thermodynamics without ergodicity},
author = {V. L. Kulinskii and K. S. Glavatskiy},
journal= {arXiv preprint arXiv:1811.04591},
year = {2018}
}