Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory
Abstract
We use the entropy production variational method to associate a one particle distribution function to the assumed known energy-momentum and entropy currents describing a relativistic conformal fluid. Assuming a simple form for the collision operator we find this one particle distribution function explicitly, and show that this method of linking the hydro and kinetic description is a non trivial generalization of Grad's ansatz. The resulting constitutive relations are the same as in the conformal dissipative type theories discussed in J. Peralta-Ramos and E. Calzetta, Phys. Rev. D {\bfseries 80}, 126002 (2009). Our results may prove useful in the description of freeze-out in ultrarelativistic heavy-ion collisions.
Keywords
Cite
@article{arxiv.1009.2400,
title = {Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory},
author = {E. Calzetta and J. Peralta-Ramos},
journal= {arXiv preprint arXiv:1009.2400},
year = {2011}
}
Comments
v2: 23 pages, no figures, accepted in Phys. Rev. D