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.

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

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• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Viscosity, Black Holes, and Quantum Field Theory
• Dissipative Hydrodynamics and Heavy Ion Collisions
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• Constraining the viscous freeze-out distribution function with data obtained at the BNL Relativistic Heavy Ion Collider (RHIC)

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