Consistent inclusion of fluctuations in first-order causal and stable relativistic hydrodynamics
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909219574251520 |
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| author | Gavassino, Lorenzo Mullins, Nicki Hippert, Mauricio |
| author_facet | Gavassino, Lorenzo Mullins, Nicki Hippert, Mauricio |
| contents | We construct, for the first time, a Bemfica-Disconzi-Noronha-Kovtun (BDNK) theory for linear stochastic fluctuations, which is proved to be mathematically consistent, causal, and covariantly stable. The Martin-Siggia-Rose action is shown to be bilocal in most cases, and the noise is not white. The presence of nonhydrodynamic modes induces long-range correlations in the primary fluid variables (temperature, chemical potential, and flow velocity). However, correlators of conserved densities remain localized in space, and coincide with those calculated within fluctuating Isreal-Stewart theory. We show that, in some cases, there is a nonlocal change of variables that maps the Israel-Stewart action into the BDNK action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06776 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Consistent inclusion of fluctuations in first-order causal and stable relativistic hydrodynamics Gavassino, Lorenzo Mullins, Nicki Hippert, Mauricio Nuclear Theory General Relativity and Quantum Cosmology High Energy Physics - Theory We construct, for the first time, a Bemfica-Disconzi-Noronha-Kovtun (BDNK) theory for linear stochastic fluctuations, which is proved to be mathematically consistent, causal, and covariantly stable. The Martin-Siggia-Rose action is shown to be bilocal in most cases, and the noise is not white. The presence of nonhydrodynamic modes induces long-range correlations in the primary fluid variables (temperature, chemical potential, and flow velocity). However, correlators of conserved densities remain localized in space, and coincide with those calculated within fluctuating Isreal-Stewart theory. We show that, in some cases, there is a nonlocal change of variables that maps the Israel-Stewart action into the BDNK action. |
| title | Consistent inclusion of fluctuations in first-order causal and stable relativistic hydrodynamics |
| topic | Nuclear Theory General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.06776 |