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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7988
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dc.contributor.authorSantra, Ion-
dc.contributor.authorBasu, Urna-
dc.contributor.authorSabhapandit, Sanjib-
dc.date.accessioned2022-09-01T08:43:43Z-
dc.date.available2022-09-01T08:43:43Z-
dc.date.issued2022-08-23-
dc.identifier.citationJournal of Physics A : Mathematical and Theoretical, 2022, Vol.55, p385002en_US
dc.identifier.issn1751-8113-
dc.identifier.issn1751-8121 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/7988-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractActive particles self-propel themselves with a stochastically evolving velocity, generating a persistent motion leading to a non-diffusive behavior of the position distribution. Nevertheless, an effective diffusive behavior emerges at times much larger than the persistence time. Here we develop a general framework for studying the long-time behavior for a class of active particle dynamics and illustrate it using the examples of run-and-tumble particle, active Ornstein–Uhlenbeck particle, active Brownian particle, and direction reversing active Brownian particle. Treating the ratio of the persistence-time to the observation time as the small parameter, we show that the position distribution generically satisfies the diffusion equation at the leading order. We further show that the sub-leading contributions, at each order, satisfies an inhomogeneous diffusion equation, where the source term depends on the previous order solutions. We explicitly obtain a few sub-leading contributions to the Gaussian position distribution. As a part of our framework, we also prescribe a way to find the position moments recursively and compute the first few explicitly for each model.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltden_US
dc.relation.urihttps://arxiv.org/abs/2202.12117en_US
dc.relation.urihttps://doi.org/10.1088/1751-8121/ac864cen_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2022JPhA...55L5002S/abstracten_US
dc.rights2022 IOP Publishing Ltd.en_US
dc.titleUniversal framework for the long-time position distribution of free active particlesen_US
dc.typeArticleen_US
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