Chaotic diffusion for particles moving in a time dependent potential well

Página do item simplificado
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.authorKuwana, Célia Mayumi [UNESP]
dc.contributor.authorYoshida, Makoto [UNESP]
dc.contributor.authorde Oliveira, Juliano Antonio [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2020-12-12T02:46:25Z
dc.date.available2020-12-12T02:46:25Z
dc.date.issued2020-10-09
dc.description.abstractThe chaotic diffusion for particles moving in a time dependent potential well is described by using two different procedures: (i) via direct evolution of the mapping describing the dynamics and; (ii) by the solution of the diffusion equation. The dynamic of the diffusing particles is made by the use of a two dimensional, nonlinear area preserving map for the variables energy and time. The phase space of the system is mixed containing both chaos, periodic regions and invariant spanning curves limiting the diffusion of the chaotic particles. The chaotic evolution for an ensemble of particles is treated as random particles motion and hence described by the diffusion equation. The boundary conditions impose that the particles can not cross the invariant spanning curves, serving as upper boundary for the diffusion, nor the lowest energy domain that is the energy the particles escape from the time moving potential well. The diffusion coefficient is determined via the equation of the mapping while the analytical solution of the diffusion equation gives the probability to find a given particle with a certain energy at a specific time. The momenta of the probability describe qualitatively the behavior of the average energy obtained by numerical simulation, which is investigated either as a function of the time as well as some of the control parameters of the problem.en
dc.description.affiliationUniversidade Estadual Paulista (UNESP) Departamento de Física, Av. 24A, 1515 – Bela Vista
dc.description.affiliationUniversidade Estadual Paulista (UNESP), Campus de São João da Boa Vista, Av. Profa. Isette Corrêa Fontão, 505
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP) Departamento de Física, Av. 24A, 1515 – Bela Vista
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP), Campus de São João da Boa Vista, Av. Profa. Isette Corrêa Fontão, 505
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 2018/14685-9
dc.description.sponsorshipIdFAPESP: 2019/14038-6
dc.description.sponsorshipIdCNPq: 301318/2019-0
dc.description.sponsorshipIdCNPq: 303242/2018-3
dc.description.sponsorshipIdCNPq: 421254/2016-5
dc.identifierhttp://dx.doi.org/10.1016/j.physleta.2020.126737
dc.identifier.citationPhysics Letters, Section A: General, Atomic and Solid State Physics, v. 384, n. 28, 2020.
dc.identifier.doi10.1016/j.physleta.2020.126737
dc.identifier.issn0375-9601
dc.identifier.scopus2-s2.0-85088395430
dc.identifier.urihttp://hdl.handle.net/11449/201966
dc.language.isoeng
dc.relation.ispartofPhysics Letters, Section A: General, Atomic and Solid State Physics
dc.sourceScopus
dc.subjectChaos
dc.subjectDiffusion
dc.subjectScaling laws
dc.titleChaotic diffusion for particles moving in a time dependent potential wellen
dc.typeArtigo

Arquivos

Coleções

Artigos - Física - IGCE