ISSN:
1572-9613
Keywords:
Random walk
;
steps to trapping
;
lattice walk
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We show that the asymptotic results for the average number of steps to trapping at an irreversible trapping site on aD-dimensional finite lattice can be obtained from the generating function for random walks on aninfinite perfect lattice. This introduces a significant simplification into such calculations. An interesting corollary of these calculations is the conclusion that a random walker traverses, on the average, all the distinct nontrapping lattice sites before arriving on the trapping site.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01020341
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