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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7584
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dc.contributor.authorSabhapandit, Sanjib-
dc.contributor.authorMajumdar, Satya N.-
dc.date.accessioned2020-12-09T06:19:00Z-
dc.date.available2020-12-09T06:19:00Z-
dc.date.issued2020-11-
dc.identifier.citationPhysical Review Letters 2020, Vol.125, p200601en_US
dc.identifier.issn0031-9007-
dc.identifier.issn1079-7114(Online)-
dc.identifier.urihttp://hdl.handle.net/2289/7584-
dc.descriptionOpen Access.en_US
dc.description.abstractWe study the decay rate θ(a) that characterizes the late time exponential decay of the first-passage probability density Fa(t|0)∼e−θ(a)t of a diffusing particle in a one dimensional confining potential U(x) , starting from the origin, to a position located at a>0 . For general confining potential U(x) we show that θ(a) , a measure of the barrier (located at a ) crossing rate, has three distinct behaviors as a function of a , depending on the tail of U(x) as x→−∞ . In particular, for potentials behaving as U(x)∼|x| when x→−∞ , we show that a novel freezing transition occurs at a critical value a=ac , i.e, θ(a) increases monotonically as a decreases till ac , and for a≤ac it freezes to θ(a)=θ(ac) . Our results are established using a general mapping to a quantum problem and by exact solution in three representative cases, supported by numerical simulations. We show that the freezing transition occurs when in the associated quantum problem, the gap between the ground state (bound) and the continuum of scattering states vanishes.en_US
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2020arXiv200500024S/abstracten_US
dc.relation.urihttps://arxiv.org/abs/2005.00024en_US
dc.relation.urihttps://doi.org/10.1103/PhysRevLett.125.200601en_US
dc.rights2020 American Physical Societyen_US
dc.titleFreezing Transition in the Barrier Crossing Rate of a Diffusing Particleen_US
dc.typeArticleen_US
dc.additionalSupplementary Information Availableen_US
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