Causal relativistic hydrodynamics of conformal Fermi-Dirac gases

In this paper we address the derivation of causal relativistic hydrodynamics, formulated within the framework of divergence type theories (DTTs), from kinetic theory for spinless particles obeying Fermi-Dirac statistics. The approach leads to expressions for the particle current and energy momentum...

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Autores principales: Aguilar, M., Calzetta, E.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_24700010_v95_n7_p_Aguilar
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_24700010_v95_n7_p_Aguilar2023-10-03T16:42:05Z Causal relativistic hydrodynamics of conformal Fermi-Dirac gases Aguilar, M. Calzetta, E. In this paper we address the derivation of causal relativistic hydrodynamics, formulated within the framework of divergence type theories (DTTs), from kinetic theory for spinless particles obeying Fermi-Dirac statistics. The approach leads to expressions for the particle current and energy momentum tensor that are formally divergent, but may be given meaning through a process of regularization and renormalization. We demonstrate the procedure through an analysis of the stability of an homogeneous anisotropic configuration. In the DTT framework, as in kinetic theory, these configurations are stable. By contrast, hydrodynamics as derived from the Grad approximation would predict that highly anisotropic configurations are unstable. © 2017 American Physical Society. Fil:Calzetta, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_24700010_v95_n7_p_Aguilar
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description In this paper we address the derivation of causal relativistic hydrodynamics, formulated within the framework of divergence type theories (DTTs), from kinetic theory for spinless particles obeying Fermi-Dirac statistics. The approach leads to expressions for the particle current and energy momentum tensor that are formally divergent, but may be given meaning through a process of regularization and renormalization. We demonstrate the procedure through an analysis of the stability of an homogeneous anisotropic configuration. In the DTT framework, as in kinetic theory, these configurations are stable. By contrast, hydrodynamics as derived from the Grad approximation would predict that highly anisotropic configurations are unstable. © 2017 American Physical Society.
format JOUR
author Aguilar, M.
Calzetta, E.
spellingShingle Aguilar, M.
Calzetta, E.
Causal relativistic hydrodynamics of conformal Fermi-Dirac gases
author_facet Aguilar, M.
Calzetta, E.
author_sort Aguilar, M.
title Causal relativistic hydrodynamics of conformal Fermi-Dirac gases
title_short Causal relativistic hydrodynamics of conformal Fermi-Dirac gases
title_full Causal relativistic hydrodynamics of conformal Fermi-Dirac gases
title_fullStr Causal relativistic hydrodynamics of conformal Fermi-Dirac gases
title_full_unstemmed Causal relativistic hydrodynamics of conformal Fermi-Dirac gases
title_sort causal relativistic hydrodynamics of conformal fermi-dirac gases
url http://hdl.handle.net/20.500.12110/paper_24700010_v95_n7_p_Aguilar
work_keys_str_mv AT aguilarm causalrelativistichydrodynamicsofconformalfermidiracgases
AT calzettae causalrelativistichydrodynamicsofconformalfermidiracgases
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