Geometric integrators for adiabatically closed simple thermodynamic systems
Mathematical Physics
2026-02-03 v3 Numerical Analysis
math.MP
Numerical Analysis
Classical Physics
Computational Physics
Abstract
A variational formulation for non-equilibrium thermodynamics was developed by Gay-Balmaz and Yoshimura. In a recent article, the first two authors of the present paper introduced partially cosymplectic structures as a geometric framework for thermodynamic systems, recovering the evolution equations obtained variationally. In this paper, we develop a discrete variational principle for adiabatically closed simple thermodynamic systems, which can be utilised to construct numerical integrators for the dynamics of such systems. The effectiveness of our method is illustrated with several examples.
Cite
@article{arxiv.2511.14154,
title = {Geometric integrators for adiabatically closed simple thermodynamic systems},
author = {Jaime Bajo and Manuel de León and Asier López-Gordón},
journal= {arXiv preprint arXiv:2511.14154},
year = {2026}
}
Comments
37 pages, 12 figures. Final version to appear in the journal