Extreme statistics and spacing distribution in a Brownian gas correlated by resetting
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866917069803487232 |
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| author | Biroli, Marco Larralde, Hernan Majumdar, Satya N. Schehr, Gregory |
| author_facet | Biroli, Marco Larralde, Hernan Majumdar, Satya N. Schehr, Gregory |
| contents | We study a one-dimensional gas of $N$ Brownian particles that diffuse independently, but are {\it simultaneously} reset to the origin at a constant rate $r$. The system approaches a non-equilibrium stationary state (NESS) with long-range interactions induced by the simultaneous resetting. Despite the presence of strong correlations, we show that several observables can be computed exactly, which include the global average density, the distribution of the position of the $k$-th rightmost particle and the spacing distribution between two successive particles. Our analytical results are confirmed by numerical simulations. We also discuss a possible experimental realisation of this resetting gas using optical traps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_00563 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Extreme statistics and spacing distribution in a Brownian gas correlated by resetting Biroli, Marco Larralde, Hernan Majumdar, Satya N. Schehr, Gregory Statistical Mechanics Mathematical Physics We study a one-dimensional gas of $N$ Brownian particles that diffuse independently, but are {\it simultaneously} reset to the origin at a constant rate $r$. The system approaches a non-equilibrium stationary state (NESS) with long-range interactions induced by the simultaneous resetting. Despite the presence of strong correlations, we show that several observables can be computed exactly, which include the global average density, the distribution of the position of the $k$-th rightmost particle and the spacing distribution between two successive particles. Our analytical results are confirmed by numerical simulations. We also discuss a possible experimental realisation of this resetting gas using optical traps. |
| title | Extreme statistics and spacing distribution in a Brownian gas correlated by resetting |
| topic | Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2211.00563 |