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arXiv · 2511.14154

Geometric integrators for adiabatically closed simple thermodynamic systems

Jaime Bajo·Manuel de León·Asier López-Gordón
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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.

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Jaime Bajo, Manuel de León, Asier López-Gordón. 2026-02-01. Geometric integrators for adiabatically closed simple thermodynamic systems. https://doi.org/10.1088/1751-8121/ae3ff7

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