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Dissipative Standard Mapping: An Analytical Description of Diffusion and Suppression of Unlimited Diffusion

dc.contributor.authorKuwana, Célia Mayumi [UNESP]
dc.contributor.authorLeonel, Edson Denis [UNESP]
dc.contributor.editorJose Manoel Balthazar, Paulo Batista Gonçalves, Angelo Marcelo Tusset, Grzegorz Litak, Julijana Simonovic
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)pt
dc.date.accessioned2026-08-11T12:24:47Z
dc.date.issued2025-08-23
dc.description.abstractScaling invariance is a clear indication a system undergoes a phase transition. A phase transition from limited to unlimited diffusion is discussed in a dissipative standard mapping. To characterize this transition, we solved the diffusion equation, finding the probability density to observe a given particle with a specific action/energy at a given instant of time. Moreover, we identified (i) the order parameter and (ii) the elementary excitation that affects the transport of particles in the system.
dc.description.affiliationDepartamento de Física, UNESP—Universidade Estadual Paulista, Rio Claro, São Paulo, Brazil
dc.description.affiliationUnespDepartamento de Física, UNESP—Universidade Estadual Paulista, Rio Claro, São Paulo, Brazil
dc.identifierhttps://app.dimensions.ai/details/publication/pub.1191986452
dc.identifier.bookDoi10.1007/978-3-031-84449-2
dc.identifier.dimensionspub.1191986452
dc.identifier.doi10.1007/978-3-031-84449-2_17
dc.identifier.isbn978-3-031-84448-5
dc.identifier.isbn978-3-031-84449-2
dc.identifier.issn2211-0984
dc.identifier.issn2211-0992
dc.identifier.orcid0000-0003-1708-3669
dc.identifier.orcid0000-0001-8224-3329
dc.identifier.urihttps://hdl.handle.net/11449/329364
dc.publisherSpringer Nature
dc.relation.ispartofMechanisms and Machine Science; v. 142; p. 285-300
dc.relation.ispartofNonlinear Dynamics, Chaos, Control, Energy Transfer and Their Applications in Engineering Sciences
dc.relation.ispartofseriesMechanisms and Machine Science
dc.rights.accessRightsAcesso restritopt
dc.rights.sourceRightsclosed
dc.sourceDimensions
dc.titleDissipative Standard Mapping: An Analytical Description of Diffusion and Suppression of Unlimited Diffusion
dc.typeCapítulo de livropt
dspace.entity.typePublication
relation.isOrgUnitOfPublication4763ec56-704e-41e0-9685-b5bef5946feb
relation.isOrgUnitOfPublication.latestForDiscovery4763ec56-704e-41e0-9685-b5bef5946feb
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt

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