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Abstract It has recently been proved that, in the presence of a static absorbing trap, Sisyphus random walkers with a restart mechanism are characterized by exponentially decreasing asymptotic survival probability… Click to show full abstract
Abstract It has recently been proved that, in the presence of a static absorbing trap, Sisyphus random walkers with a restart mechanism are characterized by exponentially decreasing asymptotic survival probability functions. Interestingly, in the present compact paper we prove analytically that, in the presence of a moving trap whose velocity approaches zero asymptotically in time as v trap ∼ 1 / t , the survival probabilities of the Sisyphus walkers are dramatically changed into inverse power-law decaying tails.
Journal Title: Annals of Physics
Year Published: 2021
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