Self-Similarity in Random Collision Processes
Statistical Mechanics
2007-05-23 v1 Soft Condensed Matter
Abstract
Kinetics of collision processes with linear mixing rules are investigated analytically. The velocity distribution becomes self-similar in the long time limit and the similarity functions have algebraic or stretched exponential tails. The characteristic exponents are roots of transcendental equations and vary continuously with the mixing parameters. In the presence of conservation laws, the velocity distributions become universal.
Cite
@article{arxiv.cond-mat/0308175,
title = {Self-Similarity in Random Collision Processes},
author = {Daniel ben-Avraham and Eli Ben-Naim and Katja Lindenberg and Alexandre Rosas},
journal= {arXiv preprint arXiv:cond-mat/0308175},
year = {2007}
}
Comments
4 pages, 4 figures