Finite Size Effect in Persistence

Details Finite Size Effect in Persistence Finite Size Effect in Persistence

2006-07-13

arxiv.org/abs/cond-mat/0607326v2

Phys. Rev. E, 75, 011111(2007)

Physics

Condensed Matter

Statistical Mechanics

revtex4, 4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.75.011111

We have investigated the random walk problem in a finite system and studied the crossover induced in the the persistence probability scales by the system size.Analytical and numerical work show that the scaling function is an exponentially decaying function.The particle here is trapped with in a box of size $L$ . We have also considered the problem when the particle in trapped in a potential. Direct calculation and numerical result show that the scaling function here also an exponentially decaying function. We also present numerical works on harmonically trapped randomly accelerated particle and randomly accelerated particle with viscous drag.

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