Publicação:
Fermi acceleration and its suppression in a time-dependent Lorentz gas

dc.contributor.authorOliveira, Diego F. M.
dc.contributor.authorVollmer, Juergen
dc.contributor.authorLeonel, Edson Denis [UNESP]
dc.contributor.institutionUniv Maribor
dc.contributor.institutionMax Planck Inst Dynam & Self Org
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:50:23Z
dc.date.accessioned2014-05-20T14:16:16Z
dc.date.available2013-09-30T18:50:23Z
dc.date.available2014-05-20T14:16:16Z
dc.date.issued2011-02-15
dc.description.abstractSome dynamical properties for a Lorentz gas were studied considering both static and time-dependent boundaries. For the static case, it was confirmed that the system has a chaotic component characterized with a positive Lyapunov exponent. For the time-dependent perturbation, the model was described using a four-dimensional nonlinear map. The behaviour of the average velocity is considered in two different situations: (i) non-dissipative and (ii) dissipative dynamics. Our results confirm that unlimited energy growth is observed for the non-dissipative case. However, and totally new for this model, when dissipation via inelastic collisions is introduced, the scenario changes and the unlimited energy growth is suppressed, thus leading to a phase transition from unlimited to limited energy growth. The behaviour of the average velocity is described using scaling arguments. (C) 2010 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Maribor, CAMTP Ctr Appl Math & Theoret Phys, SI-2000 Maribor, Slovenia
dc.description.affiliationMax Planck Inst Dynam & Self Org, D-37073 Gottingen, Germany
dc.description.affiliationUniv Estadual Paulista, Inst Geociencias & Ciencias Exatas, Dept Estat Matemat Aplicada & Computacao, BR-13506900 Rio Claro, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Geociencias & Ciencias Exatas, Dept Estat Matemat Aplicada & Computacao, BR-13506900 Rio Claro, SP, Brazil
dc.description.sponsorshipMax Planck Institute
dc.format.extent389-396
dc.identifierhttp://dx.doi.org/10.1016/j.physd.2010.09.015
dc.identifier.citationPhysica D-nonlinear Phenomena. Amsterdam: Elsevier B.V., v. 240, n. 4-5, p. 389-396, 2011.
dc.identifier.doi10.1016/j.physd.2010.09.015
dc.identifier.issn0167-2789
dc.identifier.lattes6130644232718610
dc.identifier.orcid0000-0001-8224-3329
dc.identifier.urihttp://hdl.handle.net/11449/24896
dc.identifier.wosWOS:000287058000004
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofPhysica D: Nonlinear Phenomena
dc.relation.ispartofjcr1.960
dc.relation.ispartofsjr0,861
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectBilliarden
dc.subjectLorentz gasen
dc.subjectLyapunov exponentsen
dc.subjectFermi accelerationen
dc.subjectScalingen
dc.titleFermi acceleration and its suppression in a time-dependent Lorentz gasen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.author.lattes6130644232718610[3]
unesp.author.orcid0000-0001-8224-3329[3]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentEstatística, Matemática Aplicada e Computação - IGCEpt

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