Comparison of some geometric frameworks for dissipative evolution in multiscale non-equilibrium thermodynamics
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912946841452544 |
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| author | Grmela, Miroslav Pavelka, Michal |
| author_facet | Grmela, Miroslav Pavelka, Michal |
| contents | In this paper, we review and compare some geometric frameworks for dissipation in non-equilibrium thermodynamics. We start with a brief overview of classical irreversible thermodynamics and gradient dynamics. Then we discuss several specific frameworks including Rayleigh dissipation potential and the dissipative d'Alembert framework, showing their relations with gradient dynamics. Finally, we discuss frameworks for dissipative evolution generated from Poisson brackets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05168 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comparison of some geometric frameworks for dissipative evolution in multiscale non-equilibrium thermodynamics Grmela, Miroslav Pavelka, Michal Statistical Mechanics In this paper, we review and compare some geometric frameworks for dissipation in non-equilibrium thermodynamics. We start with a brief overview of classical irreversible thermodynamics and gradient dynamics. Then we discuss several specific frameworks including Rayleigh dissipation potential and the dissipative d'Alembert framework, showing their relations with gradient dynamics. Finally, we discuss frameworks for dissipative evolution generated from Poisson brackets. |
| title | Comparison of some geometric frameworks for dissipative evolution in multiscale non-equilibrium thermodynamics |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2512.05168 |