Remarks on relativistic kinetic theory to first order in the gradients

Abstract

In this paper we emphasize some conceptual points related to the kinetic foundations of relativistic hydrodynamics. We summarize previous work and focus on the construction of the heat flux from a kinetic theory point of view. A thorough discussion addressing aspects concerning stability and causality under linear perturbations, and the construction of an appropriate stress-energy tensor, in the case of a high temperature (special relativistic) single component dilute fluid is included.

17 pages, no figures. Review in special issue of the Journal of Non-Newtonian Fluid Mechanics dedicated to the 5th International Workshop on Nonequilibrium Thermodynamics. Cuernavaca, Mexico, 24-28 August 2009. Guest editors L.S. Garcia-Colin, M. Lopez de Haro and F. Vazquez

References in corpus (5)

• Relativistic transport theory for simple fluids at first order in the gradients: a stable picture
• On the nature of the so-called generic instabilities in dissipative relativistic hydrodynamics
• The Rayleigh-Brillouin Spectrum in Special Relativistic Hydrodynamics
• Relativistic non-equilibrium thermodynamics revisited
• Generalized Relativistic Chapman-Enskog Solution of the Boltzmann Equation

Cited by in corpus (4)

• Heat conduction in relativistic neutral gases revisited
• Dissipative properties of relativistic two-dimensional gases
• A molecular dynamics approach to dissipative relativistic hydrodynamics: propagation of fluctuations
• The energy-momentum tensor in relativistic kinetic theory: the role of the center of mass velocity in the transport equations for multicomponent mixtures