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

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorLeonel, Edson D.-
Autor(es): dc.creatorKuwana, Célia M.-
Data de aceite: dc.date.accessioned2021-03-11T00:34:13Z-
Data de disponibilização: dc.date.available2021-03-11T00:34:13Z-
Data de envio: dc.date.issued2018-12-11-
Data de envio: dc.date.issued2018-12-11-
Data de envio: dc.date.issued2018-01-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s10955-017-1920-x-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/170381-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/170381-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionProcesso FAPESP: 2012/23688-5-
Descrição: dc.descriptionCNPq: 303707/2015-1-
Descrição: dc.descriptionThe 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.-
Formato: dc.format69-78-
Idioma: dc.languageen-
Relação: dc.relationJournal of Statistical Physics-
Relação: dc.relation0,930-
Direitos: dc.rightsopenAccess-
Palavras-chave: dc.subjectCritical exponents-
Palavras-chave: dc.subjectDiffusion equation-
Palavras-chave: dc.subjectPhase transition-
Palavras-chave: dc.subjectScaling laws-
Título: dc.titleAn Investigation of Chaotic Diffusion in a Family of Hamiltonian Mappings Whose Angles Diverge in the Limit of Vanishingly Action-
Tipo de arquivo: dc.typelivro digital-
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