The stochastic acceleration problem in two dimensions
数学物理
2007-05-23 v1 math.MP
概率论
摘要
We consider the motion of a particle in a two-dimensional spatially homogeneous mixing potential and show that its momentum converges to the Brownian motion on a circle. This complements the limit theorem of Kesten and Papanicolaou \cite{KP} proved in dimensions .
引用
@article{arxiv.math-ph/0505083,
title = {The stochastic acceleration problem in two dimensions},
author = {T. Komorowski and L. Ryzhik},
journal= {arXiv preprint arXiv:math-ph/0505083},
year = {2007}
}