Maximum speed of dissipation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911921187323904 |
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| author | Das, Swetamber Green, Jason R. |
| author_facet | Das, Swetamber Green, Jason R. |
| contents | We derive statistical-mechanical speed limits on dissipation from the classical, chaotic dynamics of many-particle systems. In one, the rate of irreversible entropy production in the environment is the maximum speed of a deterministic system out of equilibrium, $\bar S_e/k_B\geq 1/2Δt$, and its inverse is the minimum time to execute the process, $Δt\geq k_B/2\bar S_e$. Starting with deterministic fluctuation theorems, we show there is a corresponding class of speed limits for physical observables measuring dissipation rates. For example, in many-particle systems interacting with a deterministic thermostat, there is a trade-off between the time to evolve between states and the heat flux, $\bar{Q}Δt\geq k_BT/2$. These bounds constrain the relationship between dissipation and time during nonstationary process, including transient excursions from steady states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_12047 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Maximum speed of dissipation Das, Swetamber Green, Jason R. Statistical Mechanics Chaotic Dynamics We derive statistical-mechanical speed limits on dissipation from the classical, chaotic dynamics of many-particle systems. In one, the rate of irreversible entropy production in the environment is the maximum speed of a deterministic system out of equilibrium, $\bar S_e/k_B\geq 1/2Δt$, and its inverse is the minimum time to execute the process, $Δt\geq k_B/2\bar S_e$. Starting with deterministic fluctuation theorems, we show there is a corresponding class of speed limits for physical observables measuring dissipation rates. For example, in many-particle systems interacting with a deterministic thermostat, there is a trade-off between the time to evolve between states and the heat flux, $\bar{Q}Δt\geq k_BT/2$. These bounds constrain the relationship between dissipation and time during nonstationary process, including transient excursions from steady states. |
| title | Maximum speed of dissipation |
| topic | Statistical Mechanics Chaotic Dynamics |
| url | https://arxiv.org/abs/2305.12047 |