Stochastic dynamics of a non-Markovian random walk in the presence of resetting

Harbola, U (2024) Stochastic dynamics of a non-Markovian random walk in the presence of resetting. In: Physical Review E, 109 (6).

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Abstract

The discrete stochastic dynamics of a random walker in the presence of resetting and memory is analyzed. Resetting and memory effects may compete in certain parameter regimes, and lead to significant changes in the long-time dynamics of the walker. Analytic exact results are obtained for a model memory where the walker remembers all the past events equally. In most cases, resetting effects dominate at long times and dictate the asymptotic dynamics. We discuss the full phase diagram of the asymptotic dynamics and the resulting changes due to the resetting and the memory effects. © 2024 American Physical Society.

Item Type:	Journal Article
Publication:	Physical Review E
Publisher:	American Physical Society
Additional Information:	The copyright for this article belongs to the publisher.
Keywords:	Dynamics; Random processes, Asymptotic dynamics; Exact results; Long-time dynamics; Memory effects; Non-Markovian; Parameter regimes; Random Walk; Random walkers; Stochastic dynamics, Stochastic systems
Department/Centre:	Division of Chemical Sciences > Inorganic & Physical Chemistry
Date Deposited:	01 Aug 2024 06:01
Last Modified:	01 Aug 2024 06:01
URI:	http://eprints.iisc.ac.in/id/eprint/85709

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