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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6796
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dc.contributor.authorDhar, Abhishek-
dc.contributor.authorKundu, Anupam-
dc.contributor.authorMajumdar, Satya N.-
dc.contributor.authorSabhapandit, Sanjib-
dc.contributor.authorSchehr, Gregory-
dc.date.accessioned2017-11-28T07:03:42Z-
dc.date.available2017-11-28T07:03:42Z-
dc.date.issued2017-08-
dc.identifier.citationPhysical Review Letters, 2017, Vol. 119, p 060601en_US
dc.identifier.issn0031-9007-
dc.identifier.issn1079-7114(Online)-
dc.identifier.urihttp://hdl.handle.net/2289/6796-
dc.descriptionOpen Accessen_US
dc.description.abstractWe consider a one-dimensional classical Coulomb gas of N-like charges in a harmonic potential—also known as the one-dimensional one-component plasma. We compute, analytically, the probability distribution of the position xmax of the rightmost charge in the limit of large N. We show that the typical fluctuations of xmax around its mean are described by a nontrivial scaling function, with asymmetric tails. This distribution is different from the Tracy-Widom distribution of xmax for Dyson’s log gas. We also compute the large deviation functions of xmax explicitly and show that the system exhibits a third-order phase transition, as in the log gas. Our theoretical predictions are verified numerically.en_US
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.urihttp://arxiv.org/abs/1704.08973en_US
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevLett.119.060601en_US
dc.rights2017 American Physical Societyen_US
dc.titleExact extremal statistics in the classical 1D coulomb gas.en_US
dc.typeArticleen_US
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