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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.14154 |
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| _version_ | 1866915765920202752 |
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| author | Bajo, Jaime de León, Manuel López-Gordón, Asier |
| author_facet | Bajo, Jaime de León, Manuel López-Gordón, Asier |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14154 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric integrators for adiabatically closed simple thermodynamic systems Bajo, Jaime de León, Manuel López-Gordón, Asier Mathematical Physics Numerical Analysis Classical Physics Computational Physics 53Z30, 80A05, 53D15 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. |
| title | Geometric integrators for adiabatically closed simple thermodynamic systems |
| topic | Mathematical Physics Numerical Analysis Classical Physics Computational Physics 53Z30, 80A05, 53D15 |
| url | https://arxiv.org/abs/2511.14154 |