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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6239
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dc.contributor.authorKusmierz, Lukasz-
dc.contributor.authorMajumdar, Satya N.-
dc.contributor.authorSabhapandit, Sanjib-
dc.contributor.authorSchehr, Gregory-
dc.date.accessioned2015-05-26T07:53:57Z-
dc.date.available2015-05-26T07:53:57Z-
dc.date.issued2014-11-28-
dc.identifier.citationPhysical Review Letters, 2014, Vol. 113, p 220602en
dc.identifier.issn1079-7114-
dc.identifier.issn1079-7114(Online)-
dc.identifier.urihttp://hdl.handle.net/2289/6239-
dc.descriptionOpen Accessen
dc.description.abstractWe study analytically an intermittent search process in one dimension. There is an immobile target at the origin and a searcher undergoes a discrete time jump process starting at x0≥0, where successive jumps are drawn independently from an arbitrary jump distribution f(η). In addition, with a probability 0≤r<1, the position of the searcher is reset to its initial position x0. The efficiency of the search strategy is characterized by the mean time to find the target, i.e., the mean first passage time (MFPT) to the origin. For arbitrary jump distribution f(η), initial position x0 and resetting probability r, we compute analytically the MFPT. For the heavy-tailed Lévy stable jump distribution characterized by the Lévy index 0<μ<2, we show that, for any given x0, the MFPT has a global minimum in the (μ,r) plane at (μ∗(x0),r∗(x0)). We find a remarkable first-order phase transition as x0 crosses a critical value x∗0 at which the optimal parameters change discontinuously. Our analytical results are in good agreement with numerical simulations.en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://arxiv.org/abs/1409.1733en
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevLett.113.220602en
dc.relation.urihttp://adsabs.harvard.edu/abs/2014PhRvL.113v0602Ken
dc.rights2014 American Physical Societyen
dc.titleFirst order transition for the optimal search time of lévy flights with resettingen
dc.typeArticleen
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