Causality in dissipative relativistic magnetohydrodynamics
Abstract We explore the relationship between linear and non-linear causality in theories of dissipative relativistic fluid dynamics. While for some fluid-dynamical theories, a linearized causality analysis can be used to determine whether the full non-linear theory is causal, for others it can not....
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)009 |
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| author | Raphael E. Hoult Pavel Kovtun |
| author_facet | Raphael E. Hoult Pavel Kovtun |
| author_sort | Raphael E. Hoult |
| collection | DOAJ |
| description | Abstract We explore the relationship between linear and non-linear causality in theories of dissipative relativistic fluid dynamics. While for some fluid-dynamical theories, a linearized causality analysis can be used to determine whether the full non-linear theory is causal, for others it can not. As an illustration, we study relativistic viscous magnetohydrodynamics supplemented by a neutral-particle current, with resistive corrections to the conservation of magnetic flux. The dissipative theory has 10 transport coefficients, including anisotropic viscosities, electric resistivities, and neutral-particle conductivities. We show how causality properties of this magnetohydrodynamic theory, in the most general fluid frame, may be understood from the linearized analysis. |
| format | Article |
| id | doaj-art-9d6a36700c044a419ecf0ecbefb8d8f9 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-9d6a36700c044a419ecf0ecbefb8d8f92025-08-20T01:49:44ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025413510.1007/JHEP04(2025)009Causality in dissipative relativistic magnetohydrodynamicsRaphael E. Hoult0Pavel Kovtun1Department of Physics & Astronomy, University of VictoriaDepartment of Physics & Astronomy, University of VictoriaAbstract We explore the relationship between linear and non-linear causality in theories of dissipative relativistic fluid dynamics. While for some fluid-dynamical theories, a linearized causality analysis can be used to determine whether the full non-linear theory is causal, for others it can not. As an illustration, we study relativistic viscous magnetohydrodynamics supplemented by a neutral-particle current, with resistive corrections to the conservation of magnetic flux. The dissipative theory has 10 transport coefficients, including anisotropic viscosities, electric resistivities, and neutral-particle conductivities. We show how causality properties of this magnetohydrodynamic theory, in the most general fluid frame, may be understood from the linearized analysis.https://doi.org/10.1007/JHEP04(2025)009Field Theory HydrodynamicsHolography and Hydrodynamics |
| spellingShingle | Raphael E. Hoult Pavel Kovtun Causality in dissipative relativistic magnetohydrodynamics Journal of High Energy Physics Field Theory Hydrodynamics Holography and Hydrodynamics |
| title | Causality in dissipative relativistic magnetohydrodynamics |
| title_full | Causality in dissipative relativistic magnetohydrodynamics |
| title_fullStr | Causality in dissipative relativistic magnetohydrodynamics |
| title_full_unstemmed | Causality in dissipative relativistic magnetohydrodynamics |
| title_short | Causality in dissipative relativistic magnetohydrodynamics |
| title_sort | causality in dissipative relativistic magnetohydrodynamics |
| topic | Field Theory Hydrodynamics Holography and Hydrodynamics |
| url | https://doi.org/10.1007/JHEP04(2025)009 |
| work_keys_str_mv | AT raphaelehoult causalityindissipativerelativisticmagnetohydrodynamics AT pavelkovtun causalityindissipativerelativisticmagnetohydrodynamics |