Multicomponent Modified Boltzmann Equation and Thermalization
Statistical Mechanics
2014-08-19 v2 High Energy Physics - Phenomenology
Abstract
The existence of stationary distributions in a multicomponent Boltzmann equation using a non-additive kinetic energy composition rule for binary collisions is discussed. It is found that detailed balance is not achieved when -- in contrast to the case of a single rule -- several different composition rules are considered. The long-time behaviour of a simple momentum space model is explored numerically: saturating, heating and cooling solutions are presented.
Keywords
Cite
@article{arxiv.1309.4940,
title = {Multicomponent Modified Boltzmann Equation and Thermalization},
author = {M. Horváth and T. S. Biró},
journal= {arXiv preprint arXiv:1309.4940},
year = {2014}
}
Comments
9 pages, 7 figures; v2: Sec. 3.2 is restructured, appendix B is clarified. A reference is added. Typos are corrected