An Investigation of Chaotic Diffusion in a Family of Hamiltonian Mappings Whose Angles Diverge in the Limit of Vanishingly Action

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dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.authorKuwana, Célia M. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionAbdus Salam International Center for Theoretical Physics
dc.date.accessioned2018-12-11T16:50:34Z
dc.date.available2018-12-11T16:50:34Z
dc.date.issued2018-01-01
dc.description.abstractThe chaotic diffusion for a family of Hamiltonian mappings whose angles diverge in the limit of vanishingly action is investigated by using the solution of the diffusion equation. The system is described by a two-dimensional mapping for the variables action, I, and angle, θ and controlled by two control parameters: (i) ϵ, controlling the nonlinearity of the system, particularly a transition from integrable for ϵ= 0 to non-integrable for ϵ≠ 0 and; (ii) γ denoting the power of the action in the equation defining the angle. For ϵ≠ 0 the phase space is mixed and chaos is present in the system leading to a finite diffusion in the action characterized by the solution of the diffusion equation. The analytical solution is then compared to the numerical simulations showing a remarkable agreement between the two procedures.en
dc.description.affiliationDepartamento de Física UNESP - Univ Estadual Paulista, Av. 24A 1515
dc.description.affiliationAbdus Salam International Center for Theoretical Physics, Strada Costiera 11
dc.description.affiliationUnespDepartamento de Física UNESP - Univ Estadual Paulista, Av. 24A 1515
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 2012/23688-5
dc.description.sponsorshipIdCNPq: 303707/2015-1
dc.format.extent69-78
dc.identifierhttp://dx.doi.org/10.1007/s10955-017-1920-x
dc.identifier.citationJournal of Statistical Physics, v. 170, n. 1, p. 69-78, 2018.
dc.identifier.doi10.1007/s10955-017-1920-x
dc.identifier.file2-s2.0-85034218109.pdf
dc.identifier.issn0022-4715
dc.identifier.scopus2-s2.0-85034218109
dc.identifier.urihttp://hdl.handle.net/11449/170381
dc.language.isoeng
dc.relation.ispartofJournal of Statistical Physics
dc.relation.ispartofsjr0,930
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectCritical exponents
dc.subjectDiffusion equation
dc.subjectPhase transition
dc.subjectScaling laws
dc.titleAn Investigation of Chaotic Diffusion in a Family of Hamiltonian Mappings Whose Angles Diverge in the Limit of Vanishingly Actionen
dc.typeArtigo

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