Numerical investigations around the Gallavotti-Cohen Fluctuation Theorem on Log-lattices
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911120706502656 |
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| author | Costa, Guillaume Dubrulle, Bérengère |
| author_facet | Costa, Guillaume Dubrulle, Bérengère |
| contents | Using the recent concept of fluids projected onto Log-Lattices, we investigate the validity of the Gallavotti-Cohen Fluctuation Theorem (GCFT) in the context of fluid mechanics. The dynamics of viscous flows are inherently irreversible, which violates a fundamental assumption of the fluctuation theorem. To address this issue, Gallavotti introduced a new model, the Reversible Navier-Stokes Equation (RNS), which recovers the time-reversal symmetry of the Navier-Stokes (NS) equations while retaining the core characteristics of the latter. We show that for fluids on Log-Lattices, the GCFT holds for the RNS system. Furthermore, we show that this result can be extended, under certain assumptions, to the traditional, irreversible Navier-Stokes equations. Additionally, we show that the phase space contraction rate satisfies a large deviation relation which rate function can be estimated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17943 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical investigations around the Gallavotti-Cohen Fluctuation Theorem on Log-lattices Costa, Guillaume Dubrulle, Bérengère Statistical Mechanics Computational Physics Fluid Dynamics Using the recent concept of fluids projected onto Log-Lattices, we investigate the validity of the Gallavotti-Cohen Fluctuation Theorem (GCFT) in the context of fluid mechanics. The dynamics of viscous flows are inherently irreversible, which violates a fundamental assumption of the fluctuation theorem. To address this issue, Gallavotti introduced a new model, the Reversible Navier-Stokes Equation (RNS), which recovers the time-reversal symmetry of the Navier-Stokes (NS) equations while retaining the core characteristics of the latter. We show that for fluids on Log-Lattices, the GCFT holds for the RNS system. Furthermore, we show that this result can be extended, under certain assumptions, to the traditional, irreversible Navier-Stokes equations. Additionally, we show that the phase space contraction rate satisfies a large deviation relation which rate function can be estimated. |
| title | Numerical investigations around the Gallavotti-Cohen Fluctuation Theorem on Log-lattices |
| topic | Statistical Mechanics Computational Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2508.17943 |