Scaling investigation of Fermi acceleration on a dissipative bouncer model

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorLivorati, André Luis Prando-
Autor(es): dc.creatorLadeira, Denis Gouvêa-
Autor(es): dc.creatorLeonel, Edson D.-
Data de aceite: dc.date.accessioned2025-08-21T23:40:17Z-
Data de disponibilização: dc.date.available2025-08-21T23:40:17Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2008-11-11-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.78.056205-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/225343-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/225343-
Descrição: dc.descriptionThe phenomenon of Fermi acceleration is addressed for the problem of a classical and dissipative bouncer model, using a scaling description. The dynamics of the model, in both the complete and simplified versions, is obtained by use of a two-dimensional nonlinear mapping. The dissipation is introduced using a restitution coefficient on the periodically moving wall. Using scaling arguments, we describe the behavior of the average chaotic velocities on the model both as a function of the number of collisions with the moving wall and as a function of the time. We consider variations of the two control parameters; therefore critical exponents are obtained. We show that the formalism can be used to describe the occurrence of a transition from limited to unlimited energy growth as the restitution coefficient approaches unity. The formalism can be used to characterize the same transition in two-dimensional time-varying billiard problems. © 2008 The American Physical Society.-
Descrição: dc.descriptionDepartamento de Estatística, Matemática Aplicada e Computação IGCE Universidade Estadual Paulista, Avenida 24A, 1515 Bela Vista, CEP 13506-900, Rio Claro, São Paulo-
Descrição: dc.descriptionDepartamento de Estatística, Matemática Aplicada e Computação IGCE Universidade Estadual Paulista, Avenida 24A, 1515 Bela Vista, CEP 13506-900, Rio Claro, São Paulo-
Idioma: dc.languageen-
Relação: dc.relationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics-
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Título: dc.titleScaling investigation of Fermi acceleration on a dissipative bouncer model-
Tipo de arquivo: dc.typelivro digital-
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