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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7510
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dc.contributor.authorSinha, Supurna-
dc.date.accessioned2020-08-13T05:26:37Z-
dc.date.available2020-08-13T05:26:37Z-
dc.date.issued2020-08-
dc.identifier.citationJournal of Statistical Mechanics: Theory and Experiment, 2020, Article No.083201en_US
dc.identifier.issn1742-5468-
dc.identifier.urihttp://hdl.handle.net/2289/7510-
dc.descriptionRestricted Accessen_US
dc.description.abstractWe use the Fokker Planck equation as a starting point for studying the orientational probability distribution of an Active Brownian Particle (ABP) in (d+1) dimensions. This Fokker Planck equation admits an exact solution in series form which is, however, unwieldly to use because of poor convergence for short and intermediate times. A truncated version of this series is a reasonable approximation for long times. In this paper, we present an analytical closed form expression, which gives a good approximate orientational probability distribution, which is derived using saddle point methods for short times. However, it works well even for intermediate times. Thus, we have simple analytical forms for the entire range of time scales for the orientational probability distribution of an ABP. Our predictions can be tested against future experiments and simulations probing orientational probability distribution of an ABP.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing and SISSAen_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2020arXiv200310394S/abstracten_US
dc.relation.urihttps://arxiv.org/abs/2003.10394en_US
dc.relation.urihttps://doi.org/10.1088/1742-5468/aba497en_US
dc.rights2020 IOP Publishing and SISSAen_US
dc.subjectactive matteren_US
dc.subjectBrownian motionen_US
dc.subjectprobability distributionen_US
dc.titleOrientational probability distribution of an active Brownian particle: an analytical studyen_US
dc.typeArticleen_US
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