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dc.contributor.authorMalakar, Kanaya-
dc.contributor.authorJemseena, V-
dc.contributor.authorKundu, Anupam-
dc.contributor.authorKumar, Vijay K-
dc.contributor.authorSabhapandit, Sanjib-
dc.contributor.authorMajumdar, Satya N.-
dc.contributor.authorRedner, S.-
dc.contributor.authorDhar, Abhishek-
dc.identifier.citationJournal of Statistical Mechanics: Theory and Experiment, 2018, p043215en_US
dc.descriptionRestricted Access. An open-access version is available at (one of the alternative locations)en_US
dc.description.abstractWe investigate the motion of a run-and-tumble particle (RTP) in one dimension. We find the exact probability distribution of the particle with and without diffusion on the infinite line, as well as in a finite interval. In the infinite domain, this probability distribution approaches a Gaussian form in the long-time limit, as in the case of a regular Brownian particle. At intermediate times, this distribution exhibits unexpected multi-modal forms. In a finite domain, the probability distribution reaches a steady state form with peaks at the boundaries, in contrast to a Brownian particle. We also study the relaxation to the steady state analytically. Finally we compute the survival probability of the RTP in a semi-infinite domain. In the finite interval, we compute the exit probability and the associated exit times. We provide numerical verifications of our analytical results.en_US
dc.publisherIOP Publishing and SISSAen_US
dc.rights2018 IOP Publishing and SISSA Medialab srlen_US
dc.subjectactive matteren_US
dc.subjectBrownian motionen_US
dc.titleSteady state, relaxation and first-passage properties of a run-and-tumble particle in one-dimensionen_US
Appears in Collections:Research Papers (TP)

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