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Thermodynamics of a bouncer model: A simplified one-dimensional gas

dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.authorLivorati, Andre L. P.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionAbdus Salam Int Ctr Theoret Phys
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniv Bristol
dc.date.accessioned2015-03-18T15:53:23Z
dc.date.available2015-03-18T15:53:23Z
dc.date.issued2015-01-01
dc.description.abstractSome dynamical properties of non interacting particles in a bouncer model are described. They move under gravity experiencing collisions with a moving platform. The evolution to steady state is described in two cases for dissipative dynamics with inelastic collisions: (i) for large initial energy; (ii) for low initial energy. For (i) we prove an exponential decay while for (ii) a power law marked by a changeover to the steady state is observed. A relation for collisions and time is obtained and allows us to write relevant observables as temperature and entropy as function of either number of collisions and time. (C) 2014 Elsevier B.V. All rights reserved.en
dc.description.affiliationUNESP Univ Estadual Paulista, Dept Fis, BR-13506900 Rio Claro, SP, Brazil
dc.description.affiliationAbdus Salam Int Ctr Theoret Phys, I-34151 Trieste, Italy
dc.description.affiliationUniv Sao Paulo, Inst Fis, BR-05314970 Sao Paulo, Brazil
dc.description.affiliationUniv Bristol, Sch Math, Bristol BS8 1TW, Avon, England
dc.description.affiliationUnespUNESP Univ Estadual Paulista, Dept Fis, BR-13506900 Rio Claro, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação para o Desenvolvimento da UNESP (FUNDUNESP)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipCenter for Scientific Computing (NCC/GridUNESP) of the Sao Paulo State University (UNESP)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdFAPESP: 12/23688-5
dc.description.sponsorshipIdCAPES: CAPES CsF - 0287-13-0
dc.format.extent159-173
dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2014.05.023
dc.identifier.citationCommunications In Nonlinear Science And Numerical Simulation. Amsterdam: Elsevier Science Bv, v. 20, n. 1, p. 159-173, 2015.
dc.identifier.doi10.1016/j.cnsns.2014.05.023
dc.identifier.issn1007-5704
dc.identifier.lattes6130644232718610
dc.identifier.urihttp://hdl.handle.net/11449/116483
dc.identifier.wosWOS:000341356700015
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofCommunications In Nonlinear Science And Numerical Simulation
dc.relation.ispartofjcr3.181
dc.relation.ispartofsjr1,372
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectBouncer modelen
dc.subjectDiffusion in energyen
dc.subjectScalingen
dc.titleThermodynamics of a bouncer model: A simplified one-dimensional 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
unesp.author.orcid0000-0001-8224-3329[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentFísica - IGCEpt

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