Work

Thermodynamics without ergodicity

Year: 2018

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1811.04591

Authors: Kulinskii, V. L., Glavatskiy, K. S.

Institutions: Odesa I. I. Mechnikov National University, The University of Sydney

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2900077677

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