In-flight and collisional dissipation as a mechanism to suppress Fermi acceleration in a breathing Lorentz gas

dc.contributor.authorOliveira, Diego F. M.
dc.contributor.authorLeonel, Edson Denis [UNESP]
dc.contributor.institutionMax Planck Inst Phys Komplexer Syst
dc.contributor.institutionUniv Erlangen Nurnberg
dc.contributor.institutionUniv Maribor
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:50:44Z
dc.date.accessioned2014-05-20T14:16:30Z
dc.date.available2013-09-30T18:50:44Z
dc.date.available2014-05-20T14:16:30Z
dc.date.issued2012-06-01
dc.description.abstractSome dynamical properties for a time dependent Lorentz gas considering both the dissipative and non dissipative dynamics are studied. The model is described by using a four-dimensional nonlinear mapping. For the conservative dynamics, scaling laws are obtained for the behavior of the average velocity for an ensemble of non interacting particles and the unlimited energy growth is confirmed. For the dissipative case, four different kinds of damping forces are considered namely: (i) restitution coefficient which makes the particle experiences a loss of energy upon collisions; and in-flight dissipation given by (ii) F = -eta V-2; (iii) F = -eta V-mu with mu not equal 1 and mu not equal 2 and; (iv) F = -eta V, where eta is the dissipation parameter. Extensive numerical simulations were made and our results confirm that the unlimited energy growth, observed for the conservative dynamics, is suppressed for the dissipative case. The behaviour of the average velocity is described using scaling arguments and classes of universalities are defined. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3697392]en
dc.description.affiliationMax Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
dc.description.affiliationUniv Erlangen Nurnberg, Inst Multiscale Simulat, D-91052 Erlangen, Germany
dc.description.affiliationUniv Maribor, CAMTP Ctr Appl Math & Theoret Phys, SI-2000 Maribor, Slovenia
dc.description.affiliationUNESP Univ Estadual Paulista, Dept Estat Matemat Aplicada & Computacao, BR-13506900 Rio Claro, SP, Brazil
dc.description.affiliationUnespUNESP Univ Estadual Paulista, Dept Estat Matemat Aplicada & Computacao, BR-13506900 Rio Claro, SP, Brazil
dc.description.sponsorshipSlovenian Human Resources Development and Scholarship Fund (Ad futura Foundation)
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.sponsorshipFundação para o Desenvolvimento da UNESP (FUNDUNESP)
dc.format.extent11
dc.identifierhttp://dx.doi.org/10.1063/1.3697392
dc.identifier.citationChaos. Melville: Amer Inst Physics, v. 22, n. 2, p. 11, 2012.
dc.identifier.doi10.1063/1.3697392
dc.identifier.fileWOS000305833900075.pdf
dc.identifier.issn1054-1500
dc.identifier.lattes6130644232718610
dc.identifier.orcid0000-0001-8224-3329
dc.identifier.urihttp://hdl.handle.net/11449/24962
dc.identifier.wosWOS:000305833900075
dc.language.isoeng
dc.publisherAmerican Institute of Physics (AIP)
dc.relation.ispartofChaos
dc.relation.ispartofjcr2.415
dc.relation.ispartofsjr0,716
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleIn-flight and collisional dissipation as a mechanism to suppress Fermi acceleration in a breathing Lorentz gasen
dc.typeArtigo
dcterms.licensehttp://www.aip.org/pubservs/web_posting_guidelines.html
dcterms.rightsHolderAmer Inst Physics
unesp.author.lattes6130644232718610[2]
unesp.author.orcid0000-0001-8224-3329[2]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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