Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10071/20752
Registo completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Santilli, L. | - |
dc.contributor.author | Tierz, M. | - |
dc.date.accessioned | 2020-09-30T08:43:33Z | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 1742-5468 | - |
dc.identifier.uri | http://hdl.handle.net/10071/20752 | - |
dc.description.abstract | We study two types of random matrix ensembles that emerge when considering the same probability measure on partitions. One is the Meixner ensemble with a hard wall and the other are two families of unitary matrix models, with weight functions that can be interpreted as characteristic polynomial insertions. We show that the models, while having the same exact evaluation for fixed values of the parameter, may present a different phase structure. We find phase transitions of the second and third order, depending on the model. Other relationships, via direct mapping, between the unitary matrix models and continuous random matrix ensembles on the real line, of Cauchy-Romanovski type, are presented and studied both exactly and asymptotically. The case of orthogonal and symplectic groups is studied as well and related to Wronskians of Chebyshev polynomials, that we evaluate at largeN. | eng |
dc.language.iso | eng | - |
dc.publisher | IOP Publishing | - |
dc.relation | IF/01767/2014 | - |
dc.relation | SFRH/BD/129405/2017 | - |
dc.relation | PTDC/MAT-PUR/30234/2017 | - |
dc.rights | openAccess | - |
dc.subject | Matrix models | eng |
dc.subject | Random matrix theory and extensions | eng |
dc.subject | Dimers | eng |
dc.subject | Quantum phase transitions | eng |
dc.title | Exact equivalences and phase discrepancies between random matrix ensembles | eng |
dc.type | article | - |
dc.peerreviewed | yes | - |
dc.journal | Journal of Statistical Mechanics: Theory and Experiment | - |
dc.volume | 2020 | - |
dc.number | 8 | - |
degois.publication.issue | 8 | - |
degois.publication.title | Exact equivalences and phase discrepancies between random matrix ensembles | eng |
dc.date.updated | 2020-09-30T09:39:38Z | - |
dc.description.version | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.doi | 10.1088/1742-5468/aba594 | - |
dc.subject.fos | Domínio/Área Científica::Ciências Naturais::Matemáticas | por |
dc.subject.fos | Domínio/Área Científica::Ciências Naturais::Ciências Físicas | por |
dc.subject.fos | Domínio/Área Científica::Engenharia e Tecnologia::Engenharia Mecânica | por |
dc.subject.fos | Domínio/Área Científica::Ciências Sociais::Outras Ciências Sociais | por |
dc.date.embargo | 2021-08-19 | - |
iscte.identifier.ciencia | https://ciencia.iscte-iul.pt/id/ci-pub-74049 | - |
iscte.alternateIdentifiers.wos | WOS:000563179200001 | - |
Aparece nas coleções: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
Exact equivalences_postprint.pdf | Versão Aceite | 1,07 MB | Adobe PDF | Ver/Abrir |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.