Scaling invariance of the diffusion coefficient in a family of two-dimensional Hamiltonian mappings
dc.contributor.author | De Oliveira, Juliano A. [UNESP] | |
dc.contributor.author | Dettmann, Carl P. | |
dc.contributor.author | Da Costa, Diogo R. | |
dc.contributor.author | Leonel, Edson D. [UNESP] | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | University of Bristol | |
dc.contributor.institution | Universidade de São Paulo (USP) | |
dc.date.accessioned | 2014-05-27T11:29:40Z | |
dc.date.available | 2014-05-27T11:29:40Z | |
dc.date.issued | 2013-06-10 | |
dc.description.abstract | We 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.affiliation | Departamento de Física UNESP Universidade Estadual Paulista, Avenida 24A, 1515 13506-900, Rio-Claro, São Paulo | |
dc.description.affiliation | UNESP Universidade Estadual Paulista Câmpus São João da Boa Vista, São João da Boa Vista, São Paulo | |
dc.description.affiliation | School of Mathematics University of Bristol, Bristol BS8 1TW | |
dc.description.affiliation | Instituto de Física da USP Cidade Universitária, 05314-970, São Paulo, São Paulo | |
dc.description.affiliationUnesp | Departamento de Física UNESP Universidade Estadual Paulista, Avenida 24A, 1515 13506-900, Rio-Claro, São Paulo | |
dc.description.affiliationUnesp | UNESP Universidade Estadual Paulista Câmpus São João da Boa Vista, São João da Boa Vista, São Paulo | |
dc.identifier | http://dx.doi.org/10.1103/PhysRevE.87.062904 | |
dc.identifier.citation | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 87, n. 6, 2013. | |
dc.identifier.doi | 10.1103/PhysRevE.87.062904 | |
dc.identifier.file | 2-s2.0-84879540770.pdf | |
dc.identifier.issn | 1539-3755 | |
dc.identifier.issn | 1550-2376 | |
dc.identifier.lattes | 6130644232718610 | |
dc.identifier.scopus | 2-s2.0-84879540770 | |
dc.identifier.uri | http://hdl.handle.net/11449/75626 | |
dc.identifier.wos | WOS:000320166600014 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physical Review E: Statistical, Nonlinear, and Soft Matter Physics | |
dc.rights.accessRights | Acesso restrito | |
dc.source | Scopus | |
dc.subject | Area-preserving mappings | |
dc.subject | Chaotic orbits | |
dc.subject | Control parameters | |
dc.subject | Diffusion equations | |
dc.subject | Periodic orbits | |
dc.subject | Scaling invariance | |
dc.subject | Survival probabilities | |
dc.subject | Transport of particles | |
dc.subject | Hamiltonians | |
dc.subject | Mapping | |
dc.subject | Phase space methods | |
dc.subject | Two dimensional | |
dc.subject | Diffusion | |
dc.title | Scaling invariance of the diffusion coefficient in a family of two-dimensional Hamiltonian mappings | en |
dc.type | Artigo | |
dcterms.license | http://publish.aps.org/authors/transfer-of-copyright-agreement | |
unesp.author.lattes | 6130644232718610 | |
unesp.author.orcid | 0000-0001-8224-3329[4] | |
unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claro | pt |
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