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Phys Rev E Stat Nonlin Soft Matter Phys
; 64(2 Pt 1): 020102, 2001 Aug.
Artículo
en Inglés
| MEDLINE
| ID: mdl-11497547
RESUMEN
We study a one-dimensional lattice random walk with an absorbing boundary at the origin and a movable partial reflector. On encountering the reflector at site x, the walker is reflected (with probability r) to x-1 and the reflector is simultaneously pushed to x+1. Iteration of the transition matrix, and asymptotic analysis of the probability generating function show that the critical exponent delta governing the survival probability varies continuously between 1/2 and 1 as r varies between 0 and 1. Our study suggests a mechanism for nonuniversal kinetic critical behavior, observed in models with an infinite number of absorbing configurations.