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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7454
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dc.contributor.authorBasu, Urna-
dc.contributor.authorMajumdar, Satya N-
dc.contributor.authorSabhapandit, Sanjib-
dc.contributor.author+2 Co-Authors-
dc.date.accessioned2020-03-10T03:34:40Z-
dc.date.available2020-03-10T03:34:40Z-
dc.date.issued2020-02-04-
dc.identifier.citationJournal of Physics A: Mathematical and Theoretical, 2020, Vol.53, p09LT01en_US
dc.identifier.issn0305-4470-
dc.identifier.issn1361-6447(Online)-
dc.identifier.urihttp://hdl.handle.net/2289/7454-
dc.descriptionRestricted Access.en_US
dc.description.abstractWe study the motion of a one-dimensional run-and-tumble particle with three discrete internal states in the presence of a harmonic trap of stiffness [ image ] The three internal states, corresponding to positive, negative and zero velocities respectively, evolve following a jump process with rate [ image ]. We compute the stationary position distribution exactly for arbitrary values of [ image ] and [ image ] which turns out to have a finite support on the real line. We show that the distribution undergoes a shape-transition as [ image ] is changed. For [ image ] the distribution has a double-concave shape and shows algebraic divergences with an exponent [ image ] both at the origin and at the boundaries. For [ image ] the position distribution becomes convex, vanishing at the boundaries and with a single, finite, peak at the origin. We also show that for the special case [ image ] the distribution shows a logarithmic divergence near the origin while saturating to a constant value at the boundaries.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltden_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2020JPhA...53iLT01B/abstracten_US
dc.relation.urihttps://arxiv.org/abs/1910.10083en_US
dc.relation.urihttps://doi.org/10.1088/1751-8121/ab6af0en_US
dc.rights2020 IOP Publishing Ltden_US
dc.subjectstochastic processesen_US
dc.subjectactive particlesen_US
dc.subjectexact solutionen_US
dc.titleExact stationary state of a run-and-tumble particle with three internal states in a harmonic trapen_US
dc.typeArticleen_US
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