A dynamical phase transition for a family of Hamiltonian mappings: A phenomenological investigation to obtain the critical exponents

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dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.authorPenalva, Julia [UNESP]
dc.contributor.authorTeixeira, Rivânia M.N.
dc.contributor.authorCosta Filho, Raimundo N.
dc.contributor.authorSilva, Mário R. [UNESP]
dc.contributor.authorDe Oliveira, Juliano A. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionAbdus Salam International Center for Theoretical Physics
dc.contributor.institutionUFC - Univ. Federal do Ceará
dc.date.accessioned2018-12-11T16:38:32Z
dc.date.available2018-12-11T16:38:32Z
dc.date.issued2015-05-31
dc.description.abstractAbstract A dynamical phase transition from integrability to non-integrability for a family of 2-D Hamiltonian mappings whose angle, θ, diverges in the limit of vanishingly action, I, is characterised. The mappings are described by two parameters: (i) Ïμ, controlling the transition from integrable (Ïμ=0) to non-integrable (Ïμ≠0); and (ii) γ, denoting the power of the action in the equation which defines the angle. We prove the average action is scaling invariant with respect to either Ïμ or n and obtain a scaling law for the three critical exponents.en
dc.description.affiliationDepartamento de Física UNESP - Univ Estadual Paulista, 1515 Bela Vista, Av.24A
dc.description.affiliationAbdus Salam International Center for Theoretical Physics, Strada Costiera 11
dc.description.affiliationDepartamento de Física UFC - Univ. Federal do Ceará
dc.description.affiliationDepartamento de Estatística Matemática Aplicada e Computação UNESP - Univ Estadual Paulista, 1515 Bela Vista, Av.24A
dc.description.affiliationUNESP - Univ Estadual Paulista, Câmpus de São João da Boa Vista
dc.description.affiliationUnespDepartamento de Física UNESP - Univ Estadual Paulista, 1515 Bela Vista, Av.24A
dc.description.affiliationUnespDepartamento de Estatística Matemática Aplicada e Computação UNESP - Univ Estadual Paulista, 1515 Bela Vista, Av.24A
dc.description.affiliationUnespUNESP - Univ Estadual Paulista, Câmpus de São João da Boa Vista
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdCNPq: 2012/23688-5
dc.description.sponsorshipIdFAPESP: 2012/23688-5
dc.description.sponsorshipIdFAPESP: 2014/18672-8
dc.format.extent1808-1815
dc.identifierhttp://dx.doi.org/10.1016/j.physleta.2015.04.025
dc.identifier.citationPhysics Letters, Section A: General, Atomic and Solid State Physics, v. 379, n. 32-33, p. 1808-1815, 2015.
dc.identifier.doi10.1016/j.physleta.2015.04.025
dc.identifier.file2-s2.0-84930040945.pdf
dc.identifier.issn0375-9601
dc.identifier.scopus2-s2.0-84930040945
dc.identifier.urihttp://hdl.handle.net/11449/167839
dc.language.isoeng
dc.relation.ispartofPhysics Letters, Section A: General, Atomic and Solid State Physics
dc.relation.ispartofsjr0,595
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectChaos
dc.subjectCritical exponents
dc.subjectPhase transition
dc.subjectScaling law
dc.titleA dynamical phase transition for a family of Hamiltonian mappings: A phenomenological investigation to obtain the critical exponentsen
dc.typeArtigo

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