Suppressing Fermi acceleration in two-dimensional driven billiards

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dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.authorBunimovich, Leonid A.
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionGeorgia Institute of Technology
dc.date.accessioned2022-04-28T21:02:09Z
dc.date.available2022-04-28T21:02:09Z
dc.date.issued2010-07-02
dc.description.abstractWe consider a dissipative oval-like shaped billiard with a periodically moving boundary. The dissipation considered is proportional to a power of the velocity V of the particle. The three specific types of power laws used are: (i) F-V; (ii) F- V2 and (iii) F- Vδ with 1<δ<2. In the course of the dynamics of the particle, if a large initial velocity is considered, case (i) shows that the decay of the particle's velocity is a linear function of the number of collisions with the boundary. For case (ii), an exponential decay is observed, and for 1<δ<2, an powerlike decay is observed. Scaling laws were used to characterize a phase transition from limited to unlimited energy gain for cases (ii) and (iii). The critical exponents obtained for the phase transition in the case (ii) are the same as those obtained for the dissipative bouncer model. Therefore near this phase transition, these two rather different models belong to the same class of universality. For all types of dissipation, the results obtained allow us to conclude that suppression of the unlimited energy growth is indeed observed. © 2010 The American Physical Society.en
dc.description.affiliationDepartamento de Estatística Matemática Aplicada e Computação-IGCE-UNESP-Univ Estadual Paulista, Avenida 24A, CEP 13506-700-Rio Claro, SP
dc.description.affiliationSchool of Mathematics Georgia Institute of Technology, Atlanta, GA 30332-0160
dc.description.affiliationUnespDepartamento de Estatística Matemática Aplicada e Computação-IGCE-UNESP-Univ Estadual Paulista, Avenida 24A, CEP 13506-700-Rio Claro, SP
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.82.016202
dc.identifier.citationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 82, n. 1, 2010.
dc.identifier.doi10.1103/PhysRevE.82.016202
dc.identifier.issn1539-3755
dc.identifier.issn1550-2376
dc.identifier.scopus2-s2.0-77954338552
dc.identifier.urihttp://hdl.handle.net/11449/225961
dc.language.isoeng
dc.relation.ispartofPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.sourceScopus
dc.titleSuppressing Fermi acceleration in two-dimensional driven billiardsen
dc.typeArtigo

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