Effective action for relativistic hydrodynamics from Crooks fluctuation theorem
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866929665999896576 |
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| author | Mullins, Nicki Hippert, Mauricio Noronha, Jorge |
| author_facet | Mullins, Nicki Hippert, Mauricio Noronha, Jorge |
| contents | A new effective theory framework for fluctuating hydrodynamics in the relativistic regime is derived using standard thermodynamical principles and general properties of non-equilibrium stochastic dynamics. For the first time, we establish clear and concise conditions for ensuring that the resulting effective theories are causal, stable, and well-posed within general relativity. These properties are independent of spacetime foliation and are valid in the full nonlinear regime. Out-of-equilibrium fluctuations are constrained by a relativistically covariant version of Crooks fluctuation theorem, which determines how the entropy production is distributed even when the system is driven by an external force. This leads to an emerging $\mathbb{Z}_2$ symmetry responsible for imposing fluctuation-dissipation relations for n-point correlation functions, which matches the standard constraints for the Schwinger-Keldysh effective action. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_04637 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective action for relativistic hydrodynamics from Crooks fluctuation theorem Mullins, Nicki Hippert, Mauricio Noronha, Jorge Nuclear Theory High Energy Physics - Phenomenology High Energy Physics - Theory A new effective theory framework for fluctuating hydrodynamics in the relativistic regime is derived using standard thermodynamical principles and general properties of non-equilibrium stochastic dynamics. For the first time, we establish clear and concise conditions for ensuring that the resulting effective theories are causal, stable, and well-posed within general relativity. These properties are independent of spacetime foliation and are valid in the full nonlinear regime. Out-of-equilibrium fluctuations are constrained by a relativistically covariant version of Crooks fluctuation theorem, which determines how the entropy production is distributed even when the system is driven by an external force. This leads to an emerging $\mathbb{Z}_2$ symmetry responsible for imposing fluctuation-dissipation relations for n-point correlation functions, which matches the standard constraints for the Schwinger-Keldysh effective action. |
| title | Effective action for relativistic hydrodynamics from Crooks fluctuation theorem |
| topic | Nuclear Theory High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.04637 |