Diffusion phenomena in a mixed phase space

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dc.contributor.authorPalmero, Matheus S. [UNESP]
dc.contributor.authorDíaz, Gabriel I.
dc.contributor.authorMcClintock, Peter V. E.
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionLancaster University
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2020-12-12T01:12:41Z
dc.date.available2020-12-12T01:12:41Z
dc.date.issued2020-01-01
dc.description.abstractWe show that, in strongly chaotic dynamical systems, the average particle velocity can be calculated analytically by consideration of Brownian dynamics in a phase space, the method of images, and the use of the classical diffusion equation. The method is demonstrated on the simplified Fermi-Ulam accelerator model, which has a mixed phase space with chaotic seas, invariant tori, and Kolmogorov-Arnold-Moser islands. The calculated average velocities agree well with numerical simulations and with an earlier empirical theory.en
dc.description.affiliationDepartamento de Física UNESP - Univ Estadual Paulista, Av. 24A, 1515, Bela Vista
dc.description.affiliationDepartment of Physics Lancaster University
dc.description.affiliationInstituto de Física - Universidade de São Paulo (IFUSP) Cidade Universitária, Rua do Matão, Tr.R 187
dc.description.affiliationUnespDepartamento de Física UNESP - Univ Estadual Paulista, Av. 24A, 1515, Bela Vista
dc.identifierhttp://dx.doi.org/10.1063/1.5100607
dc.identifier.citationChaos, v. 30, n. 1, 2020.
dc.identifier.doi10.1063/1.5100607
dc.identifier.issn1054-1500
dc.identifier.scopus2-s2.0-85078254841
dc.identifier.urihttp://hdl.handle.net/11449/198429
dc.language.isoeng
dc.relation.ispartofChaos
dc.sourceScopus
dc.titleDiffusion phenomena in a mixed phase spaceen
dc.typeArtigo
unesp.author.orcid0000-0003-3211-2560 0000-0003-3211-2560 0000-0003-3211-2560[1]

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