Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory

Details Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory

2010-09-13

arxiv.org/abs/1009.2400v2

Phys.Rev.D82:106003,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

v2: 23 pages, no figures, accepted in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.82.106003

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.

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