V. L. Kulinskii, K. S. Glavatskiy
Published 2018-11-12Version 1
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.
A no-go theorem for ergodicity and an Einstein relation
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On the foundations of statistical mechanics: ergodicity, many degrees of freedom and inference
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