The target problem with evanescent subdiffusive traps
Soft Condensed Matter
2007-05-23 v1 Statistical Mechanics
Abstract
We calculate the survival probability of a stationary target in one dimension surrounded by diffusive or subdiffusive traps of time-dependent density. The survival probability of a target in the presence of traps of constant density is known to go to zero as a stretched exponential whose specific power is determined by the exponent that characterizes the motion of the traps. A density of traps that grows in time always leads to an asymptotically vanishing survival probability. Trap evanescence leads to a survival probability of the target that may be go to zero or to a finite value indicating a probability of eternal survival, depending on the way in which the traps disappear with time.
Keywords
Cite
@article{arxiv.cond-mat/0607655,
title = {The target problem with evanescent subdiffusive traps},
author = {S. B. Yuste and J. J. Ruiz-Lorenzo and Katja Lindenberg},
journal= {arXiv preprint arXiv:cond-mat/0607655},
year = {2007}
}