A geometric description of some thermodynamical systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912169269919744 |
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| author | de León, Manuel Bajo, Jaime |
| author_facet | de León, Manuel Bajo, Jaime |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18478 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A geometric description of some thermodynamical systems de León, Manuel Bajo, Jaime Mathematical Physics Differential Geometry Symplectic Geometry 80A05, 53Z05, 80A10, 37J39 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. |
| title | A geometric description of some thermodynamical systems |
| topic | Mathematical Physics Differential Geometry Symplectic Geometry 80A05, 53Z05, 80A10, 37J39 |
| url | https://arxiv.org/abs/2412.18478 |