Scaling invariance of the diffusion coefficient in a family of two-dimensional Hamiltonian mappings

Página do item simplificado
dc.contributor.authorDe Oliveira, Juliano A. [UNESP]
dc.contributor.authorDettmann, Carl P.
dc.contributor.authorDa Costa, Diogo R.
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversity of Bristol
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2014-05-27T11:29:40Z
dc.date.available2014-05-27T11:29:40Z
dc.date.issued2013-06-10
dc.description.abstractWe consider a family of two-dimensional nonlinear area-preserving mappings that generalize the Chirikov standard map and model a variety of periodically forced systems. The action variable diffuses in increments whose phase is controlled by a negative power of the action and hence effectively uncorrelated for small actions, leading to a chaotic sea in phase space. For larger values of the action the phase space is mixed and contains a family of elliptic islands centered on periodic orbits and invariant Kolmogorov-Arnold-Moser (KAM) curves. The transport of particles along the phase space is considered by starting an ensemble of particles with a very low action and letting them evolve in the phase until they reach a certain height h. For chaotic orbits below the periodic islands, the survival probability for the particles to reach h is characterized by an exponential function, well modeled by the solution of the diffusion equation. On the other hand, when h reaches the position of periodic islands, the diffusion slows markedly. We show that the diffusion coefficient is scaling invariant with respect to the control parameter of the mapping when h reaches the position of the lowest KAM island. © 2013 American Physical Society.en
dc.description.affiliationDepartamento de Física UNESP Universidade Estadual Paulista, Avenida 24A, 1515 13506-900, Rio-Claro, São Paulo
dc.description.affiliationUNESP Universidade Estadual Paulista Câmpus São João da Boa Vista, São João da Boa Vista, São Paulo
dc.description.affiliationSchool of Mathematics University of Bristol, Bristol BS8 1TW
dc.description.affiliationInstituto de Física da USP Cidade Universitária, 05314-970, São Paulo, São Paulo
dc.description.affiliationUnespDepartamento de Física UNESP Universidade Estadual Paulista, Avenida 24A, 1515 13506-900, Rio-Claro, São Paulo
dc.description.affiliationUnespUNESP Universidade Estadual Paulista Câmpus São João da Boa Vista, São João da Boa Vista, São Paulo
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.87.062904
dc.identifier.citationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 87, n. 6, 2013.
dc.identifier.doi10.1103/PhysRevE.87.062904
dc.identifier.file2-s2.0-84879540770.pdf
dc.identifier.issn1539-3755
dc.identifier.issn1550-2376
dc.identifier.lattes6130644232718610
dc.identifier.scopus2-s2.0-84879540770
dc.identifier.urihttp://hdl.handle.net/11449/75626
dc.identifier.wosWOS:000320166600014
dc.language.isoeng
dc.relation.ispartofPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectArea-preserving mappings
dc.subjectChaotic orbits
dc.subjectControl parameters
dc.subjectDiffusion equations
dc.subjectPeriodic orbits
dc.subjectScaling invariance
dc.subjectSurvival probabilities
dc.subjectTransport of particles
dc.subjectHamiltonians
dc.subjectMapping
dc.subjectPhase space methods
dc.subjectTwo dimensional
dc.subjectDiffusion
dc.titleScaling invariance of the diffusion coefficient in a family of two-dimensional Hamiltonian mappingsen
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
unesp.author.lattes6130644232718610
unesp.author.orcid0000-0001-8224-3329[4]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

Arquivos

Pacote Original
Agora exibindo 1 - 1 de 1
Imagem de Miniatura
Nome:
2-s2.0-84879540770.pdf
Tamanho:
1.15 MB
Formato:
Adobe Portable Document Format
Baixar

Coleções

Artigos - Física - IGCE