Self-Similarity in Random Collision Processes

Details Self-Similarity in Random Collision Processes Self-Similarity in Random Collision Processes

2003-08-08

arxiv.org/abs/cond-mat/0308175v1

Phys. Rev. E 68, R050103 (2003).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.68.050103

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.

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