Finite Size Effect in Persistence

Abstract

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.

revtex4, 4 pages, 4 figures

References in corpus (3)

• Experimental Persistence Probability for Fluctuating Steps
• Persistence in nonequilibrium surface growth
• Survival in equilibrium step fluctuations

Cited by in corpus (8)

• Persistence in Brownian motion of an ellipsoidal particle in two dimensions
• Persistence of a Brownian particle in a Time Dependent Potential
• Global Persistence Exponent in Critical Dynamics: Finite Size induced Crossover
• Persistence in Random Walk in Composite Media
• Time correlations and persistence probability of a Brownian particle in a shear flow
• Persistence of an active asymmetric rigid Brownian particle in two dimensions
• Dynamic Phase Transition in Prisoner's Dilemma on a Lattice with Stochastic Modifications
• Distribution of zeros in the rough geometry of fluctuating interfaces