Mapping GENERIC hydrodynamics into Carter's multifluid theory
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909063293435904 |
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| author | Gavassino, Lorenzo |
| author_facet | Gavassino, Lorenzo |
| contents | We show that the GENERIC model for relativistic heat conduction is a multifluid of Carter. This allows one to compute the multifluid constitutive relations directly from the GENERIC formalism. As a quick application, we prove that, in the limit of infinite heat conductivity, GENERIC heat conduction reduces to the relativistic two-fluid model for superfluidity. This surprising ``crossover'' is a consequence of relativistic causality: If diffusion happens too fast, all the diffusing charge cumulates on the surface of the lightcone, and it eventually travels at the speed of light like a wave. Our analysis is non-perturbative, and it is carried out in the fully non-linear regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_10897 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mapping GENERIC hydrodynamics into Carter's multifluid theory Gavassino, Lorenzo Nuclear Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology We show that the GENERIC model for relativistic heat conduction is a multifluid of Carter. This allows one to compute the multifluid constitutive relations directly from the GENERIC formalism. As a quick application, we prove that, in the limit of infinite heat conductivity, GENERIC heat conduction reduces to the relativistic two-fluid model for superfluidity. This surprising ``crossover'' is a consequence of relativistic causality: If diffusion happens too fast, all the diffusing charge cumulates on the surface of the lightcone, and it eventually travels at the speed of light like a wave. Our analysis is non-perturbative, and it is carried out in the fully non-linear regime. |
| title | Mapping GENERIC hydrodynamics into Carter's multifluid theory |
| topic | Nuclear Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2311.10897 |