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- W1544496615 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." @default.
- W1544496615 created "2016-06-24" @default.
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- W1544496615 date "2007-01-12" @default.
- W1544496615 modified "2023-09-24" @default.
- W1544496615 title "Finite-size effect in persistence in random walks" @default.
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- W1544496615 doi "https://doi.org/10.1103/physreve.75.011111" @default.
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