Continuously variable survival exponent for random walks with movable partial reflectors.

Abstract

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… (More)

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Cite this paper

@article{Dickman2001ContinuouslyVS, title={Continuously variable survival exponent for random walks with movable partial reflectors.}, author={R. Dickman and Daniel ben-Avraham}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2001}, volume={64 2 Pt 1}, pages={020102} }