dc.creator | Cooper, Fred | es |
dc.creator | Khare, Avinash | es |
dc.creator | Quintero, Niurka R. | es |
dc.creator | Sánchez-Rey, Bernardo | es |
dc.creator | Mertens, Franz G. | es |
dc.creator | Saxena, Avadh | es |
dc.date.accessioned | 2020-02-25T16:39:06Z | |
dc.date.available | 2020-02-25T16:39:06Z | |
dc.date.issued | 2020-01 | |
dc.identifier.citation | Cooper, F., Khare, A., Quintero, N.R., Sánchez-Rey, B., Mertens, F.G. y Saxena, A. (2020). Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity. Journal of Physics A: Mathematical and Theoretical, 53, 075203-. | |
dc.identifier.issn | 1751-8113 | es |
dc.identifier.issn | 1751-8121 | es |
dc.identifier.uri | https://hdl.handle.net/11441/93621 | |
dc.description.abstract | The damped and parametrically driven nonlinear Dirac equation with arbitrary nonlinearity parameter κ is analyzed, when the external force is periodic in space and given by f(x) = r cos(Kx), both numerically and in a variational approximation using five collective coordinates (time dependent shape parameters of the wave function). Our variational approximation satisfies exactly the low-order moment equations. Because of competition between the spatial period of the external force λ = 2π/K, and the soliton width ls, which is a function of the nonlinearity κ as well as the initial frequency ω0 of the solitary wave, there is a transition (at fixed ω0) from trapped to unbound behavior of the soliton, which depends on the parameters r and K of the external force and the nonlinearity parameter κ. We previously studied this phenomena when κ = 1 (2019 J. Phys. A: Math. Theor. 52 285201) where we showed that for λ ≫ ls the soliton oscillates in an effective potential, while for λ ≪ ls it moves uniformly as a free particle. In this paper we focus on the κ dependence of the transition from oscillatory to particle behavior and explicitly compare the curves of the transition regime found in the collective coordinate approximation as a function of r and K when κ = 1/2,1,2 at fixed value of the frequency ω0. Since the solitary wave gets narrower for fixed ω0 as a function of κ, we expect and indeed find that the regime where the solitary wave is trapped is extended as we increase κ. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad of Spain FIS2017-89349-P | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades of Spain PGC2018-093998-B-I00 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | IOP Publishing | es |
dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical, 53, 075203-. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Solitons | es |
dc.subject | Nonlinear Dirac equation | es |
dc.subject | Collective coordinates | es |
dc.subject | Trapped to free transition | es |
dc.subject | Parametric driving | es |
dc.title | Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity | es |
dc.title.alternative | Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada I | es |
dc.relation.projectID | FIS2017-89349-P | es |
dc.relation.projectID | PGC2018-093998-B-I00 | es |
dc.relation.publisherversion | https://iopscience.iop.org/article/10.1088/1751-8121/ab60e7/meta | es |
dc.identifier.doi | 10.1088/1751-8121/ab60e7 | es |
dc.contributor.group | Universidad de Sevilla. FQM-207 Física Atómica y Molecular | es |
dc.contributor.group | Universidad de Sevilla. FQM280: Física no Lineal | es |
idus.format.extent | 18 p. | es |
idus.validador.nota | Preprint | es |
dc.journaltitle | Journal of Physics A: Mathematical and Theoretical | es |
dc.publication.volumen | 53 | es |
dc.publication.initialPage | 075203 | es |