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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7597
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dc.contributor.authorKumar, Vijay-
dc.contributor.authorSadekar, Onkar-
dc.contributor.authorBasu, Urna-
dc.date.accessioned2020-12-12T10:49:22Z-
dc.date.available2020-12-12T10:49:22Z-
dc.date.issued2020-11-
dc.identifier.citationPhysical Review E, 2020, Vol. 102, Article No.052129en_US
dc.identifier.issn2470-0045-
dc.identifier.issn2470-0053 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/7597-
dc.descriptionOpen Accessen_US
dc.description.abstractWe study the position distribution of an active Brownian particle (ABP) in the presence of stochastic resetting in two spatial dimensions. We consider three different resetting protocols : (I) where both position and orientation of the particle are reset, (II) where only the position is reset, and (III) where only the orientation is reset with a certain rate r. We show that in the first two cases the ABP reaches a stationary state. Using a renewal approach, we calculate exactly the stationary marginal position distributions in the limiting cases when the resetting rate r is much larger or much smaller than the rotational diffusion constant DR of the ABP. We find that, in some cases, for a large resetting rate, the position distribution diverges near the resetting point; the nature of the divergence depends on the specific protocol. For the orientation resetting, there is no stationary state, but the motion changes from a ballistic one at short-times to a diffusive one at late times. We characterize the short-time non-Gaussian marginal position distributions using a perturbative approach.en_US
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2020arXiv200803294K/abstracten_US
dc.relation.urihttps://arxiv.org/abs/2008.03294en_US
dc.relation.urihttps://doi.org/10.1103/PhysRevE.102.052129en_US
dc.rights2020 American Physical Societyen_US
dc.titleActive Brownian motion in two dimensions under stochastic resettingen_US
dc.typeArticleen_US
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