Trapping of a random walk by diffusing traps
统计力学
2009-11-07 v1
摘要
We present a systematic analytical approach to the trapping of a random walk by a finite density rho of diffusing traps in arbitrary dimension d. We confirm the phenomenologically predicted e^{-c_d rho t^{d/2}} time decay of the survival probability, and compute the dimension dependent constant c_d to leading order within an eps=2-d expansion.
引用
@article{arxiv.cond-mat/0205236,
title = {Trapping of a random walk by diffusing traps},
author = {F. van Wijland},
journal= {arXiv preprint arXiv:cond-mat/0205236},
year = {2009}
}
备注
16 pages, to appear in J. Phys. A