First passage time problem for biased continuous-time random walks
统计力学
2007-05-23 v1 概率论
化学物理
摘要
We study the first passage time (FPT) problem for biased continuous time random walks. Using the recently formulated framework of fractional Fokker-Planck equations, we obtain the Laplace transform of the FPT density function when the bias is constant. When the bias depends linearly on the position, the full FPT density function is derived in terms of Hermite polynomials and generalized Mittag-Leffler functions.
引用
@article{arxiv.cond-mat/0105268,
title = {First passage time problem for biased continuous-time random walks},
author = {Govindan Rangarajan and Mingzhou Ding},
journal= {arXiv preprint arXiv:cond-mat/0105268},
year = {2007}
}
备注
12 pages