The Local Time Distribution of a Particle Diffusing on a Graph
统计力学
2009-11-07 v1
摘要
We study the local time distribution of a Brownian particle diffusing along the links on a graph. In particular, we derive an analytic expression of its Laplace transform in terms of the Green's function on the graph. We show that the asymptotic behavior of this distribution has non-Gaussian tails characterized by a nontrivial large deviation function.
引用
@article{arxiv.cond-mat/0209119,
title = {The Local Time Distribution of a Particle Diffusing on a Graph},
author = {Alain Comtet and Jean Desbois and Satya N. Majumdar},
journal= {arXiv preprint arXiv:cond-mat/0209119},
year = {2009}
}
备注
8 pages, two figures (included)