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New Exact Solution of the Relativistic Boltzmann Equation and its Hydrodynamic Limit

Gabriel S. Denicol, Ulrich Heinz, Mauricio Martinez, Jorge Noronha, and Michael Strickland
Phys. Rev. Lett. 113, 202301 – Published 14 November 2014

Abstract

We present an exact solution of the relativistic Boltzmann equation for a system undergoing boost-invariant longitudinal and azimuthally symmetric transverse flow (“Gubser flow”). The resulting exact nonequilibrium dynamics is compared to first and second order relativistic hydrodynamic approximations for various shear viscosity to entropy density ratios. This novel solution can be used to test the validity and accuracy of different hydrodynamic approximations in conditions similar to those generated in relativistic heavy-ion collisions.

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  • Received 2 September 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.202301

© 2014 American Physical Society

Authors & Affiliations

Gabriel S. Denicol1, Ulrich Heinz2, Mauricio Martinez2, Jorge Noronha3, and Michael Strickland4

  • 1Department of Physics, McGill University, 3600 University Street, Montreal, Quebec H3 A 2T8, Canada
  • 2Department of Physics, The Ohio State University, Columbus, Ohio 43210-1117, USA
  • 3Instituto de Física, Universidade de São Paulo, C.P. 66318, 05315-970 São Paulo, SP, Brazil
  • 4Department of Physics, Kent State University, Kent, Ohio 44242, USA

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Issue

Vol. 113, Iss. 20 — 14 November 2014

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