arXiv:1408.5646·v2·High Energy Physics — Phenomenology
A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
Gabriel S. Denicol (McGill)🇨🇦 · Ulrich W. Heinz🇺🇸 · Mauricio Martinez (Ohio State)🇺🇸 · Jorge Noronha (Univ. Sao Paulo)🇧🇷 · Michael Strickland (Kent State)🇺🇸
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 non-equilibrium dynamics is compared to 1st- and 2nd-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.
Comments: 5 pages, 6 figures. Minor corrections in the text. Accepted for publication in Physical Review Letters