超扩散管中一些随机台球

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2025-07-23 DOI:10.1007/s10955-025-03490-1

Henk Bruin, Niels Kolenbrander, Dalia Terhesiu

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引用次数: 0

摘要

我们考虑管中的一类随机台球，其中与管边界碰撞时的反射角是随机变量，而不是确定性（和弹性）量。对于一个粒子的位移，我们得到了一个（非标准的）中心极限定理，该粒子的位移在一定程度上不具有二阶矩w.r.t.随机台球的不变测度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Some Random Billiards in a Tube with Superdiffusion

We consider a class of random billiards in a tube, where reflection angles at collisions with the boundary of the tube are random variables rather than deterministic (and elastic) quantities. We obtain a (non-standard) Central Limit Theorem for the displacement of a particle, which marginally fails to have a second moment w.r.t. the invariant measure of the random billiard.

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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.