Self-Similarity in Random Collision Processes

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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.
4 pages, 4 figures

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Statistical Mechanics, Soft Condensed Matter

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http://salesiana.dossiersoluciones.com/handle/123456789/21992

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0308175
 http://arxiv.org/abs/cond-mat/0308175
 Phys. Rev. E 68, R050103 (2003).
 doi:10.1103/PhysRevE.68.050103

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arXiv