Jeans instability analysis in the presence of heat in Eckart's frame

Abstract

It is shown that the coupling of heat with acceleration first proposed by Eckart would have an overwhelming effect in the growth of density mass fluctuations, even in non-relativistic fluids in the presence of a gravitational field. Gravitational effects would be negligible if the heat-acceleration relation is assumed to be valid for the hydrodynamic equations. A direct implication of this result is that recent alternative first order in the gradients theories must be taken into account while describing a special relativistic fluid.

9 pages, no figures

References in corpus (5)

• Stable First-order Particle-frame Relativistic Hydrodynamics for Dissipative Systems
• Dynamical Density Fluctuations around QCD Critical Point Based on Dissipative Relativistic Fluid Dynamics-possible fate of Mach cone at the critical point-
• 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

Cited by in corpus (4)

• On the stability problem in relativistic thermodynamics: implications of the Chapman-Enskog formalism
• Structure formation in the presence of relativistic heat conduction: corrections to the Jeans wave number with a stable first order in the gradients formalism
• On the Statistical Foundations of Kaluza's Magnetohydrodynamics
• On the role of dissipation in structure formation for dilute relativistic gases: the static background case