Self-similarity in random collision processes.
Self-similarity in random collision processes.
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随机碰撞过程中的自相似性。
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
A. Rosas
中科院分区：
文献类型：
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作者：
D. ben;E. Ben;K. Lindenberg;A. Rosas
用解析方法研究了线性混合规则下的碰撞过程动力学。速度分布在长时间内具有自相似性，相似性函数具有代数尾或拉伸指数尾。特征指数是超越方程的根，随混合参数连续变化。在守恒律的存在下，速度分布变得普遍。
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.