The Rayleigh-Brillouin Spectrum in Special Relativistic Hydrodynamics
arXiv:0904.0495 · doi:10.1103/PhysRevE.79.066310
Abstract
In this paper we calculate the Rayleigh-Brillouin spectrum for a relativistic simple fluid according to three different versions available for a relativistic approach to non-equilibrium thermodynamics. An outcome of these calculations is that Eckart's version predicts that such spectrum does not exist. This provides an argument to question its validity. The remaining two results, which differ one from another, do provide a finite form for such spectrum. This raises the rather intriguing question as to which of the two theories is a better candidate to be taken as a possible version of relativistic non-equilibrium thermodynamics. The answer will clearly require deeper examination of this problem.
arXiv comment13 pages, no figures. Accepted for publication in Phys. Rev. E
References in corpus (3)
Cited by in corpus (10)
- Relativistic fluid dynamics: physics for many different scales
- A consistent first-order model for relativistic heat flow
- Relativistic transport theory for simple fluids at first order in the gradients: a stable picture
- Remarks on relativistic kinetic theory to first order in the gradients
- Generic instabilities in the relativistic Chapman-Enskog heat conduction law
- Jeans instability analysis in the presence of heat in Eckart's frame
- On the stability problem in relativistic thermodynamics: implications of the Chapman-Enskog formalism
- A molecular dynamics approach to dissipative relativistic hydrodynamics: propagation of fluctuations
- 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 role of dissipation in structure formation for dilute relativistic gases: the static background case