Some exact results for the trapping of subdiffusive particles in one dimension
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
We study a generalization of the standard trapping problem of random walk theory in which particles move subdiffusively on a one-dimensional lattice. We consider the cases in which the lattice is filled with a one-sided and a two-sided random distribution of static absorbing traps with concentration c. The survival probability Phi(t) that the random walker is not trapped by time t is obtained exactly in both versions of the problem through a fractional diffusion approach. Comparison with simulation results is made
Keywords
Cite
@article{arxiv.cond-mat/0311207,
title = {Some exact results for the trapping of subdiffusive particles in one dimension},
author = {S. B. Yuste and L. Acedo},
journal= {arXiv preprint arXiv:cond-mat/0311207},
year = {2007}
}
Comments
15 pages, 2 figures