Explaining a changeover from normal to super diffusion in time-dependent billiards

dc.contributor.authorHansen, Matheus
dc.contributor.authorCiro, David
dc.contributor.authorCaldas, Iberê L.
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.institutionUniversidade de Saõ Paulo
dc.contributor.institutionUniversidade Federal do Paraná (UFPR)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T16:53:25Z
dc.date.available2018-12-11T16:53:25Z
dc.date.issued2018-03-01
dc.description.abstractThe changeover from normal to super diffusion in time-dependent billiards is explained analytically. The unlimited energy growth for an ensemble of bouncing particles in time-dependent billiards is obtained by means of a two-dimensional mapping of the first and second moments of the speed distribution function. We prove that, for low initial speeds the average speed of the ensemble grows with exponent of the number of collisions with the boundary, therefore exhibiting normal diffusion. Eventually, this regime changes to a faster growth characterized by an exponent corresponding to super diffusion. For larger initial energies, the temporary symmetry in the diffusion of speeds explains an initial plateau of the average speed.en
dc.description.affiliationInstituto de Física Universidade de Saõ Paulo
dc.description.affiliationInstituto de Física Universidade Federal Do Paraná
dc.description.affiliationDepartamento de Física UNESP
dc.description.affiliationUnespDepartamento de Física UNESP
dc.identifierhttp://dx.doi.org/10.1209/0295-5075/121/60003
dc.identifier.citationEPL, v. 121, n. 6, 2018.
dc.identifier.doi10.1209/0295-5075/121/60003
dc.identifier.file2-s2.0-85047362401.pdf
dc.identifier.issn1286-4854
dc.identifier.issn0295-5075
dc.identifier.scopus2-s2.0-85047362401
dc.identifier.urihttp://hdl.handle.net/11449/171026
dc.language.isoeng
dc.relation.ispartofEPL
dc.relation.ispartofsjr0,498
dc.relation.ispartofsjr0,498
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleExplaining a changeover from normal to super diffusion in time-dependent billiardsen
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