When does an active bath behave as an equilibrium one?
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866916262490144768 |
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| author | Khali, Shubhendu Shekhar Peruani, Fernando Chaudhuri, Debasish |
| author_facet | Khali, Shubhendu Shekhar Peruani, Fernando Chaudhuri, Debasish |
| contents | Active baths are characterized by a non-Gaussian velocity distribution and a quadratic dependence with active velocity $v_0$ of the kinetic temperature and diffusion coefficient. While these results hold in over-damped active systems, inertial effects lead to normal velocity distributions, with kinetic temperature and diffusion coefficient increasing as $\sim v_0^α$ with $1<α<2$. Remarkably, the late-time diffusivity and mobility decrease with mass. Moreover, we show that the equilibrium Einstein relation is asymptotically recovered with inertia. In summary, the inertial mass restores an equilibrium-like behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_03830 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | When does an active bath behave as an equilibrium one? Khali, Shubhendu Shekhar Peruani, Fernando Chaudhuri, Debasish Statistical Mechanics Soft Condensed Matter Biological Physics Active baths are characterized by a non-Gaussian velocity distribution and a quadratic dependence with active velocity $v_0$ of the kinetic temperature and diffusion coefficient. While these results hold in over-damped active systems, inertial effects lead to normal velocity distributions, with kinetic temperature and diffusion coefficient increasing as $\sim v_0^α$ with $1<α<2$. Remarkably, the late-time diffusivity and mobility decrease with mass. Moreover, we show that the equilibrium Einstein relation is asymptotically recovered with inertia. In summary, the inertial mass restores an equilibrium-like behavior. |
| title | When does an active bath behave as an equilibrium one? |
| topic | Statistical Mechanics Soft Condensed Matter Biological Physics |
| url | https://arxiv.org/abs/2305.03830 |