DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chafai, Djalil | ko |
dc.contributor.author | Garcia-Zelada, David | ko |
dc.contributor.author | Jung, Paul | ko |
dc.date.accessioned | 2020-04-17T09:20:05Z | - |
dc.date.available | 2020-04-17T09:20:05Z | - |
dc.date.created | 2020-04-14 | - |
dc.date.created | 2020-04-14 | - |
dc.date.created | 2020-04-14 | - |
dc.date.created | 2020-04-14 | - |
dc.date.issued | 2020-03 | - |
dc.identifier.citation | JOURNAL OF MATHEMATICAL PHYSICS, v.61, no.3 | - |
dc.identifier.issn | 0022-2488 | - |
dc.identifier.uri | http://hdl.handle.net/10203/273930 | - |
dc.description.abstract | We 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.language | English | - |
dc.publisher | AMER INST PHYSICS | - |
dc.title | Macroscopic and edge behavior of a planar jellium | - |
dc.type | Article | - |
dc.identifier.wosid | 000522397000001 | - |
dc.identifier.scopusid | 2-s2.0-85083105395 | - |
dc.type.rims | ART | - |
dc.citation.volume | 61 | - |
dc.citation.issue | 3 | - |
dc.citation.publicationname | JOURNAL OF MATHEMATICAL PHYSICS | - |
dc.identifier.doi | 10.1063/1.5126724 | - |
dc.contributor.localauthor | Jung, Paul | - |
dc.contributor.nonIdAuthor | Chafai, Djalil | - |
dc.contributor.nonIdAuthor | Garcia-Zelada, David | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | ENERGY-LEVELS | - |
dc.subject.keywordPlus | STATISTICAL-MECHANICS | - |
dc.subject.keywordPlus | CHARGE FLUCTUATIONS | - |
dc.subject.keywordPlus | COULOMB | - |
dc.subject.keywordPlus | MATRICES | - |
dc.subject.keywordPlus | DENSITY | - |
dc.subject.keywordPlus | GASES | - |
dc.subject.keywordPlus | LIMIT | - |
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