Macroscopic diffusive fluctuations for generalized hard rods dynamics
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910704688168960 |
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| author | Ferrari, Pablo A. Olla, Stefano |
| author_facet | Ferrari, Pablo A. Olla, Stefano |
| contents | We study the fluctuations in equilibrium for a dynamics of rods with random length. This includes the classical hard rod elastic collisions, when rod lengths are constant and equal to a positive value. We prove that in the diffusive space-time scaling, an initial fluctuation of density of particles of velocity $v$, after recentering on its Euler evolution, evolve randomly shifted by a Brownian motion of variance $\mathcal D(v)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_13037 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Macroscopic diffusive fluctuations for generalized hard rods dynamics Ferrari, Pablo A. Olla, Stefano Mathematical Physics Statistical Mechanics Probability 82C21, 82D15, 70F45 We study the fluctuations in equilibrium for a dynamics of rods with random length. This includes the classical hard rod elastic collisions, when rod lengths are constant and equal to a positive value. We prove that in the diffusive space-time scaling, an initial fluctuation of density of particles of velocity $v$, after recentering on its Euler evolution, evolve randomly shifted by a Brownian motion of variance $\mathcal D(v)$. |
| title | Macroscopic diffusive fluctuations for generalized hard rods dynamics |
| topic | Mathematical Physics Statistical Mechanics Probability 82C21, 82D15, 70F45 |
| url | https://arxiv.org/abs/2305.13037 |