Electronic Resource
Springer
Journal of statistical physics
67 (1992), S. 13-31
ISSN:
1572-9613
Keywords:
Random walk
;
decaying random trap field
;
n-step survival probability
;
average trapping time
;
large deviations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We study random walks on ℤd (d⩾ 1) containing traps subject to decay. The initial trap distribution is random. In the course of time, traps decay independently according to a given lifetime distribution. We derive a necessary and sufficient condition under which the walk eventually gets trapped with probability 1. We prove bounds and asymptotic estimates for the survival probability as a function of time and for the average trapping time. These are compared with some well-known results for nondecaying traps.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01049025
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