Nonequilibrium relaxation inequality on short timescales
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913282031353856 |
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| author | Auconi, Andrea |
| author_facet | Auconi, Andrea |
| contents | An integral relation is derived from the Fokker-Planck equation which connects the steady-state probability currents with the dynamics of relaxation on short timescales in the limit of small perturbation fields. As a consequence of this integral relation, a lower bound on the steady-state entropy production is obtained. For the particular case of an ensemble of random perturbation fields of weak spatial gradient, a simpler bound is derived from the integral relation which provides a feasible method to estimate entropy production from relaxation experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16631 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonequilibrium relaxation inequality on short timescales Auconi, Andrea Statistical Mechanics Biological Physics An integral relation is derived from the Fokker-Planck equation which connects the steady-state probability currents with the dynamics of relaxation on short timescales in the limit of small perturbation fields. As a consequence of this integral relation, a lower bound on the steady-state entropy production is obtained. For the particular case of an ensemble of random perturbation fields of weak spatial gradient, a simpler bound is derived from the integral relation which provides a feasible method to estimate entropy production from relaxation experiments. |
| title | Nonequilibrium relaxation inequality on short timescales |
| topic | Statistical Mechanics Biological Physics |
| url | https://arxiv.org/abs/2403.16631 |