On the convexity of relativistic ideal magnetohydrodynamics
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Título: | On the convexity of relativistic ideal magnetohydrodynamics |
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Autor/es: | Ibáñez, José María | Cordero Carrión, Isabel | Aloy, Miguel-Ángel | Martí, José María | Miralles, Juan A. |
Grupo/s de investigación o GITE: | Astrofísica Relativista |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Física Aplicada |
Palabras clave: | Convexity | Special relativity | Magnetohydrodynamics |
Área/s de conocimiento: | Astronomía y Astrofísica |
Fecha de publicación: | 16-abr-2015 |
Editor: | IOP Publishing |
Cita bibliográfica: | Classical and Quantum Gravity. 2015, 32(9): 095007. doi:10.1088/0264-9381/32/9/095007 |
Resumen: | We analyze the influence of the magnetic field in the convexity properties of the relativistic magnetohydrodynamics system of equations. To this purpose we use the approach of Lax, based on the analysis of the linearly degenerate/genuinely nonlinear nature of the characteristic fields. Degenerate and non-degenerate states are discussed separately and the non-relativistic, unmagnetized limits are properly recovered. The characteristic fields corresponding to the material and Alfvén waves are linearly degenerate and, then, not affected by the convexity issue. The analysis of the characteristic fields associated with the magnetosonic waves reveals, however, a dependence of the convexity condition on the magnetic field. The result is expressed in the form of a generalized fundamental derivative written as the sum of two terms. The first one is the generalized fundamental derivative in the case of purely hydrodynamical (relativistic) flow. The second one contains the effects of the magnetic field. The analysis of this term shows that it is always positive, leading to the remarkable result that the presence of a magnetic field in the fluid reduces the domain of thermodynamical states for which the equation of state is non-convex. |
Patrocinador/es: | Authors acknowledge financial support from the Spanish Government (grants AYA2013-40979-P and AYA2013-42184-P) and from the local Autonomous Government (Generalitat Valenciana, grant Prometeo-II/2014/069). IC-C acknowledges support from the SN2NS project ANR-10-BLAN-0503, the ARC convention No. 11/15-040, and the Fonds de la Recherche Scientifique (FNRS) under grant 4.4501.05. MAA and IC-C acknowledge support from the European Research Councill (ERC) through the Starting Independent Researcher Grant CAMAP-259276. |
URI: | http://hdl.handle.net/10045/46654 |
ISSN: | 0264-9381 (Print) | 1361-6382 (Online) |
DOI: | 10.1088/0264-9381/32/9/095007 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2015 IOP Publishing Ltd |
Revisión científica: | si |
Versión del editor: | http://dx.doi.org/10.1088/0264-9381/32/9/095007 |
Aparece en las colecciones: | INV - Astrofísica Relativista - Artículos de Revistas |
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2015_Ibanez_etal_ClassQuantumGrav_final.pdf | Versión final (acceso restringido) | 232,74 kB | Adobe PDF | Abrir Solicitar una copia |
2015_Ibanez_etal_ClassQuantumGrav_preprint.pdf | Preprint (acceso abierto) | 165,18 kB | Adobe PDF | Abrir Vista previa |
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