Scaling invariance for the diffusion coefficient in a dissipative standard mapping

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorSchool of Electrical Engineering and Computer Science - University of North Dakota-
Autor(es): dc.creatorLeonel, Edson D.-
Autor(es): dc.creatorKuwana, Célia M.-
Autor(es): dc.creatorOliveira, Diego F.M.-
Data de aceite: dc.date.accessioned2025-08-21T21:57:14Z-
Data de disponibilização: dc.date.available2025-08-21T21:57:14Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2025-01-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1016/j.physd.2024.134513-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/305147-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/305147-
Descrição: dc.descriptionThe unbounded diffusion observed for the standard mapping in a regime of high nonlinearity is suppressed by dissipation due to the violation of Liouville's theorem. The diffusion coefficient becomes important for the description of scaling invariance particularly for the suppression of the unbounded action diffusion. When the dynamics start in the regime of low action, the diffusion coefficient remains constant for a long time, guaranteeing the diffusion for an ensemble of particles. Eventually, it evolves into a regime of decay, marking the suppression of particle action growth. We prove it is scaling invariant for the control parameters and the crossover time identifying the changeover from the constant domain, leading to diffusion, for a regime of decay marking the saturation of the diffusion, scales with the same critical exponent z=−1 for a transition from bounded to unbounded diffusion in a dissipative time dependent billiard system.-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionDepartamento de Física UNESP - Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista, Sao Paulo-
Descrição: dc.descriptionSchool of Electrical Engineering and Computer Science - University of North Dakota, Grand Forks, Avenue Stop 8357-
Descrição: dc.descriptionDepartamento de Física UNESP - Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista, Sao Paulo-
Descrição: dc.descriptionFAPESP: 2019/14038-6-
Descrição: dc.descriptionFAPESP: 2021/09519-5-
Idioma: dc.languageen-
Relação: dc.relationPhysica D: Nonlinear Phenomena-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectDiffusion coefficient-
Palavras-chave: dc.subjectDiffusion equation-
Palavras-chave: dc.subjectScaling invariance-
Palavras-chave: dc.subjectScaling laws-
Título: dc.titleScaling invariance for the diffusion coefficient in a dissipative standard mapping-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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