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dc.creatorQuintero, Niurka R.
dc.creatorSánchez Sánchez, Ángel
dc.creatorMertens, Franz G.
dc.date.accessioned2015-04-10T08:43:47Z
dc.date.available2015-04-10T08:43:47Z
dc.date.issued2000
dc.identifier.issn1539-3755es
dc.identifier.issn1550-2376es
dc.identifier.urihttp://hdl.handle.net/11441/23742
dc.description.abstractWe study the dynamics of f 4 kinks perturbed by an ac force, both with and without damping. We address this issue by using a collective coordinate theory, which allows us to reduce the problem to the dynamics of the kink center and width. We carry out a careful analysis of the corresponding ordinary differential equations, of Mathieu type in the undamped case, finding and characterizing the resonant frequencies and the regions of existence of resonant solutions. We verify the accuracy of our predictions by numerical simulation of the full partial differential equation, showing that the collective coordinate prediction is very accurate. Numerical simulations for the damped case establish that the strongest resonance is the one at half the frequency of the internal mode of the kink. In conclusion, we discuss the possible relevance of our results for other systems, especially the sine-Gordon equation. We also obtain additional results regarding the equivalence between different collective coordinate methods applied to this problem.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.relation.ispartofPhysical Review E, 62 (4), 5695-5705es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleResonances in the dynamics of f 4 kinks perturbed by ac forceses
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Física Aplicada Ies
dc.relation.publisherversionhttp://journals.aps.org/pre/pdf/10.1103/PhysRevE.62.5695es
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevE.62.5695
dc.identifier.doi10.1103/PhysRevE.62.5695
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/23742

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