Macroscopic and edge behavior of a planar jellium

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dc.contributor.authorChafai, Djalilko
dc.contributor.authorGarcia-Zelada, Davidko
dc.contributor.authorJung, Paulko
dc.date.accessioned2020-04-17T09:20:05Z-
dc.date.available2020-04-17T09:20:05Z-
dc.date.created2020-04-14-
dc.date.created2020-04-14-
dc.date.created2020-04-14-
dc.date.created2020-04-14-
dc.date.issued2020-03-
dc.identifier.citationJOURNAL OF MATHEMATICAL PHYSICS, v.61, no.3-
dc.identifier.issn0022-2488-
dc.identifier.urihttp://hdl.handle.net/10203/273930-
dc.description.abstractWe consider a planar Coulomb gas in which the external potential is generated by a smeared uniform background of opposite-sign charge on a disk. This model can be seen as a two-dimensional Wigner jellium, not necessarily charge-neutral, and with particles allowed to exist beyond the support of the smeared charge. The full space integrability condition requires a low enough temperature or high enough total smeared charge. This condition does not allow, at the same time, total charge-neutrality and determinantal structure. The model shares similarities with both the complex Ginibre ensemble and the Forrester-Krishnapur spherical ensemble of random matrix theory. In particular, for a certain regime of temperature and total charge, the equilibrium measure is uniform on a disk as in the Ginibre ensemble, while the modulus of the farthest particle has heavy-tailed fluctuations as in the Forrester-Krishnapur spherical ensemble. We also touch upon a higher temperature regime producing a crossover equilibrium measure, as well as a transition to Gumbel edge fluctuations. More results in the same spirit on edge fluctuations are explored by the second author together with Raphael Butez.-
dc.languageEnglish-
dc.publisherAMER INST PHYSICS-
dc.titleMacroscopic and edge behavior of a planar jellium-
dc.typeArticle-
dc.identifier.wosid000522397000001-
dc.identifier.scopusid2-s2.0-85083105395-
dc.type.rimsART-
dc.citation.volume61-
dc.citation.issue3-
dc.citation.publicationnameJOURNAL OF MATHEMATICAL PHYSICS-
dc.identifier.doi10.1063/1.5126724-
dc.contributor.localauthorJung, Paul-
dc.contributor.nonIdAuthorChafai, Djalil-
dc.contributor.nonIdAuthorGarcia-Zelada, David-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusENERGY-LEVELS-
dc.subject.keywordPlusSTATISTICAL-MECHANICS-
dc.subject.keywordPlusCHARGE FLUCTUATIONS-
dc.subject.keywordPlusCOULOMB-
dc.subject.keywordPlusMATRICES-
dc.subject.keywordPlusDENSITY-
dc.subject.keywordPlusGASES-
dc.subject.keywordPlusLIMIT-
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