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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8068
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dc.contributor.authorSantra, Ion-
dc.contributor.authorBasu, Urna-
dc.contributor.authorSabhapandit, Sanjib-
dc.date.accessioned2023-03-20T06:22:04Z-
dc.date.available2023-03-20T06:22:04Z-
dc.date.issued2023-03-15-
dc.identifier.citationJournal of Statistical Mechanics, 2023, Vol. 2023, p033203en_US
dc.identifier.issn1742-5468-
dc.identifier.urihttp://hdl.handle.net/2289/8068-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractWe study the long-time asymptotic behavior of the position distribution of a run-and-tumble particle (RTP) in two dimensions in the presence of translational diffusion and show that the distribution at a time t can be expressed as a perturbative series in $(\gamma t)^{-1}$, where γ−1 is the persistence time of the RTP. We show that the higher order corrections to the leading order Gaussian distribution generically satisfy an inhomogeneous diffusion equation where the source term depends on the previous order solutions. The explicit solution of the inhomogeneous equation requires the position moments, and we develop a recursive formalism to compute the same. We find that the subleading corrections undergo shape transitions as the translational diffusion is increased.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltden_US
dc.relation.urihttps://arxiv.org/abs/2211.07337en_US
dc.relation.urihttp://dx.doi.org/10.1088/1742-5468/acbc22en_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2022arXiv221107337S/abstracten_US
dc.rights2023 IOP Publishing Ltd.en_US
dc.titleLong time behavior of run-and-tumble particles in two dimensionsen_US
dc.typeArticleen_US
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