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Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation

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arxiv 1408.7048 v3 pith:RYS7OKCG submitted 2014-08-29 hep-ph cond-mat.stat-mechnucl-th

Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation

Gabriel S. Denicol (McGill) , Ulrich W. Heinz (Ohio State) , Mauricio Martinez (Ohio State) , Jorge Noronha (Univ. Sao Paulo) , Michael Strickland (Kent State) This is my paper
classification hep-ph cond-mat.stat-mechnucl-th
keywords solutionexactkineticspaceboltzmannequationmacroscopicobtained
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We present an exact solution to the Boltzmann equation which describes a system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion for arbitrary shear viscosity to entropy density ratio. This new solution is constructed by considering the conformal map between Minkowski space and the direct product of three dimensional de Sitter space with a line. The resulting solution respects SO(3)_q x SO(1,1) x Z_2 symmetry. We compare the exact kinetic solution with exact solutions of the corresponding macroscopic equations that were obtained from the kinetic theory in ideal and second-order viscous hydrodynamic approximations. The macroscopic solutions are obtained in de Sitter space and are subject to the same symmetries used to obtain the exact kinetic solution.

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Cited by 3 Pith papers

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