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arXiv · 2412.18478

A geometric description of some thermodynamical systems

Manuel de León·Jaime Bajo
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Abstract

In this paper we show how almost cosymplectic structures are a natural framework to study thermodynamical systems. Indeed, we are able to obtain the same evolution equations obtained previously by Gay-Balmaz and Yoshimura (see Entropy, 21(8):39, 2019) using variational arguments. The proposed geometric description allows us to apply geometrical tools to discuss reduction by symmetries, the Hamilton-Jacobi equation or discretization of these systems.

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Manuel de León, Jaime Bajo. 2024-12-24. A geometric description of some thermodynamical systems. https://arxiv.org/abs/2412.18478

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