Finite-size effect in persistence in random walks

Chakraborty, D ; Bhattacharjee, J. K. (2007) Finite-size effect in persistence in random walks Physical Review E, 75 (1). 011111_1-011111_5. ISSN 1063-651X

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We have investigated the random walk problem in a finite system and studied the crossover induced in the persistence probability by the system size. Analytical and numerical work show that the scaling function is an exponentially decaying function. We consider two cases of trapping, one by a box of size L and the other by a harmonic trap. Our analytic calculations are supported by numerical works. We also present numerical results on the harmonically trapped randomly accelerated particle and the randomly accelerated particle with viscous drag.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:2612
Deposited On:08 Oct 2010 07:40
Last Modified:17 May 2011 07:52

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