Solutions of conformal Israel-Stewart relativistic viscous fluid dynamics

Hugo Marrochio, Jorge Noronha, Gabriel S. Denicol, Matthew Luzum, Sangyong Jeon, Charles Gale

Research output: Contribution to journalArticlepeer-review

Abstract

We use symmetry arguments developed by Gubser to construct the first radially expanding explicit solutions of the Israel-Stewart formulation of hydrodynamics. Along with a general semi-analytical solution, an exact analytical solution is given which is valid in the cold plasma limit where viscous effects from shear viscosity and the relaxation time coefficient are important. The radially expanding solutions presented in this paper can be used as nontrivial checks of numerical algorithms employed in hydrodynamic simulations of the quark-gluon plasma formed in ultrarelativistic heavy ion collisions. We show this explicitly by comparing such analytic and semi-analytic solutions with the corresponding numerical solutions obtained using the music viscous hydrodynamics simulation code.

Original languageEnglish (US)
Article number014903
JournalPhysical Review C - Nuclear Physics
Volume91
Issue number1
DOIs
StatePublished - Jan 16 2015
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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