Symplectic structure of equilibrium thermodynamics
General Relativity and Quantum Cosmology
2022-10-05 v3 Mathematical Physics
math.MP
Abstract
The contact geometric structure of the thermodynamic phase space is used to introduce a novel symplectic structure on the tangent bundle of the equilibrium space. Moreover, it turns out that the equilibrium space can be interpreted as a Lagrange submanifold of the corresponding tangent bundle, if the fundamental equation is known explicitly. As a consequence, Hamiltonians can be defined that describe thermodynamic processes.
Cite
@article{arxiv.2104.13009,
title = {Symplectic structure of equilibrium thermodynamics},
author = {Luis Aragon-Munoz and Hernando Quevedo},
journal= {arXiv preprint arXiv:2104.13009},
year = {2022}
}
Comments
New sections, comments and references added. Final version to appear in IJGMMP