A Jarzynski-type equality for nonequilibrium steady-state probabilities
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929541312675840 |
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| author | Cetiner, Ugur |
| author_facet | Cetiner, Ugur |
| contents | We show that steady-state probabilities of a nonequilibrium Markovian system can be reconstructed from a weighted ensemble average of finite-time loop-erased paths. Each path $Γ$ is weighted by $e^{-S(Γ)}$, where $S(Γ)$ can be interpreted either as the action functional or as the entropy change in the surrounding reservoirs. In doing so, we uncover a Jarzynski-type equality for nonequilibrium steady states. We also reveal that the probabilities of loop-erased paths obey strong thermodynamic symmetry relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10691 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Jarzynski-type equality for nonequilibrium steady-state probabilities Cetiner, Ugur Statistical Mechanics We show that steady-state probabilities of a nonequilibrium Markovian system can be reconstructed from a weighted ensemble average of finite-time loop-erased paths. Each path $Γ$ is weighted by $e^{-S(Γ)}$, where $S(Γ)$ can be interpreted either as the action functional or as the entropy change in the surrounding reservoirs. In doing so, we uncover a Jarzynski-type equality for nonequilibrium steady states. We also reveal that the probabilities of loop-erased paths obey strong thermodynamic symmetry relations. |
| title | A Jarzynski-type equality for nonequilibrium steady-state probabilities |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2410.10691 |