A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
High Energy Physics - Phenomenology
2014-11-17 v2 Statistical Mechanics
High Energy Physics - Theory
Nuclear Theory
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.
Keywords
Cite
@article{arxiv.1408.5646,
title = {A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit},
author = {Gabriel S. Denicol and Ulrich W. Heinz and Mauricio Martinez and Jorge Noronha and Michael Strickland},
journal= {arXiv preprint arXiv:1408.5646},
year = {2014}
}
Comments
5 pages, 6 figures. Minor corrections in the text. Accepted for publication in Physical Review Letters