A hydrodynamic approach to the study of anisotropic instabilities in dissipative relativistic plasmas

We develop a purely hydrodynamic formalism to describe collisional, anisotropic instabilities in a relativistic plasma, that are usually described with kinetic theory tools. Our main motivation is the fact that coarse-grained models of high particle number systems give more clear and comprehensive p...

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Autores principales: Calzetta, Esteban Adolfo, Kandus, Alejandra
Publicado: 2016
Materias:
instabilities
Relativistic fluids
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v31_n35_p_Calzetta
http://hdl.handle.net/20.500.12110/paper_0217751X_v31_n35_p_Calzetta
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_0217751X_v31_n35_p_Calzetta2023-06-08T15:21:11Z A hydrodynamic approach to the study of anisotropic instabilities in dissipative relativistic plasmas Calzetta, Esteban Adolfo Kandus, Alejandra instabilities Relativistic fluids We develop a purely hydrodynamic formalism to describe collisional, anisotropic instabilities in a relativistic plasma, that are usually described with kinetic theory tools. Our main motivation is the fact that coarse-grained models of high particle number systems give more clear and comprehensive physical descriptions of those systems than purely kinetic approaches, and can be more easily tested experimentally as well as numerically. Also they make it easier to follow perturbations from linear to nonlinear regimes. In particular, we aim at developing a theory that describes both a background nonequilibrium fluid configurations and its perturbations, to be able to account for the backreaction of the latter on the former. Our system of equations includes the usual conservation laws for the energy-momentum tensor and for the electric current, and the equations for two new tensors that encode the information about dissipation. To make contact with kinetic theory, we write the different tensors as the moments of a nonequilibrium one-particle distribution function (1pdf) which, for illustrative purposes, we take in the form of a Grad-like ansatz. Although this choice limits the applicability of the formalism to states not far from equilibrium, it retains the main features of the underlying kinetic theory. We assume the validity of the Vlasov-Boltzmann equation, with a collision integral given by the Anderson-Witting prescription, which is more suitable for highly relativistic systems than Marle's (or Bhatnagar, Gross and Krook) form, and derive the conservation laws by taking its corresponding moments. We apply our developments to study the emergence of instabilities in an anisotropic, but axially symmetric background. For small departures of isotropy we find the dispersion relation for normal modes, which admit unstable solutions for a wide range of values of the parameter space. © 2016 World Scientific Publishing Company. Fil:Calzetta, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Kandus, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v31_n35_p_Calzetta http://hdl.handle.net/20.500.12110/paper_0217751X_v31_n35_p_Calzetta
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic instabilities
Relativistic fluids
spellingShingle instabilities
Relativistic fluids
Calzetta, Esteban Adolfo
Kandus, Alejandra
A hydrodynamic approach to the study of anisotropic instabilities in dissipative relativistic plasmas
topic_facet instabilities
Relativistic fluids
description We develop a purely hydrodynamic formalism to describe collisional, anisotropic instabilities in a relativistic plasma, that are usually described with kinetic theory tools. Our main motivation is the fact that coarse-grained models of high particle number systems give more clear and comprehensive physical descriptions of those systems than purely kinetic approaches, and can be more easily tested experimentally as well as numerically. Also they make it easier to follow perturbations from linear to nonlinear regimes. In particular, we aim at developing a theory that describes both a background nonequilibrium fluid configurations and its perturbations, to be able to account for the backreaction of the latter on the former. Our system of equations includes the usual conservation laws for the energy-momentum tensor and for the electric current, and the equations for two new tensors that encode the information about dissipation. To make contact with kinetic theory, we write the different tensors as the moments of a nonequilibrium one-particle distribution function (1pdf) which, for illustrative purposes, we take in the form of a Grad-like ansatz. Although this choice limits the applicability of the formalism to states not far from equilibrium, it retains the main features of the underlying kinetic theory. We assume the validity of the Vlasov-Boltzmann equation, with a collision integral given by the Anderson-Witting prescription, which is more suitable for highly relativistic systems than Marle's (or Bhatnagar, Gross and Krook) form, and derive the conservation laws by taking its corresponding moments. We apply our developments to study the emergence of instabilities in an anisotropic, but axially symmetric background. For small departures of isotropy we find the dispersion relation for normal modes, which admit unstable solutions for a wide range of values of the parameter space. © 2016 World Scientific Publishing Company.
author Calzetta, Esteban Adolfo
Kandus, Alejandra
author_facet Calzetta, Esteban Adolfo
Kandus, Alejandra
author_sort Calzetta, Esteban Adolfo
title A hydrodynamic approach to the study of anisotropic instabilities in dissipative relativistic plasmas
title_short A hydrodynamic approach to the study of anisotropic instabilities in dissipative relativistic plasmas
title_full A hydrodynamic approach to the study of anisotropic instabilities in dissipative relativistic plasmas
title_fullStr A hydrodynamic approach to the study of anisotropic instabilities in dissipative relativistic plasmas
title_full_unstemmed A hydrodynamic approach to the study of anisotropic instabilities in dissipative relativistic plasmas
title_sort hydrodynamic approach to the study of anisotropic instabilities in dissipative relativistic plasmas
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v31_n35_p_Calzetta
http://hdl.handle.net/20.500.12110/paper_0217751X_v31_n35_p_Calzetta
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AT calzettaestebanadolfo hydrodynamicapproachtothestudyofanisotropicinstabilitiesindissipativerelativisticplasmas
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