Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas
High Energy Physics - Phenomenology
2014-05-22 v1 Nuclear Theory
Abstract
We solve the one-dimensional boost-invariant kinetic equation for a relativistic massive system with the collision term treated in the relaxation time approximation. The result is an exact integral equation which can be solved numerically by the method of iteration to arbitrary precision. We compare predictions for the shear and bulk viscosities of a massive system with those obtained from the exact solution. Finally, we compare the time evolution of the bulk pressure obtained from our exact solution with results obtained from the dynamical equations of second-order viscous hydrodynamics.
Keywords
Cite
@article{arxiv.1402.7348,
title = {Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas},
author = {Wojciech Florkowski and Ewa Maksymiuk and Radoslaw Ryblewski and Michael Strickland},
journal= {arXiv preprint arXiv:1402.7348},
year = {2014}
}
Comments
23 pages, 8 figures