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

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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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Autor principal: Calzetta, E.
Otros Autores: Kandus, A.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: World Scientific Publishing Co. Pte Ltd 2016
Acceso en línea:Registro en Scopus
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Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
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100 1 |a Calzetta, E. 
245 1 2 |a A hydrodynamic approach to the study of anisotropic instabilities in dissipative relativistic plasmas 
260 |b World Scientific Publishing Co. Pte Ltd  |c 2016 
506 |2 openaire  |e Política editorial 
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520 3 |a 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.  |l eng 
536 |a Detalles de la financiación: Universidade Estadual de Campinas 
536 |a Detalles de la financiación: Agencia Nacional de Promoción Científica y Tecnológica 
536 |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas, FAPESB-PVE-015/2015/Processo PET0013/2016, AUXPE-FAPESB-3336/2014/Processo 23038.007210/2014-19 
536 |a Detalles de la financiación: We thank P. Romatschke, M. Strickland and T. Christen for useful comments. E. Calzetta acknowledges support from ANPCyT, CONICET and the Univer- sity of Buenos Aires. A. Kandus thanks financial support from FAPESB grant AUXPE-FAPESB-3336/2014/Processo 23038.007210/2014-19 and FAPESB grant FAPESB-PVE-015/2015/Processo PET0013/2016, and Universidade Estadual de Santa Cruz. 
593 |a Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IFIBA-CONICET, Buenos Aires, 1428, Argentina 
593 |a Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, Rodov. Jorge Amado km 16, Ilhéus, BA, Brazil 
690 1 0 |a INSTABILITIES 
690 1 0 |a RELATIVISTIC FLUIDS 
700 1 |a Kandus, A. 
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