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Dynamics of a Ø4 kink in the presence of strong potential fluctuations, dissipation, and boundaries

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorSánchez, Angel
dc.contributor.authorVázquez, Luis
dc.date.accessioned2012-07-31T10:39:56Z
dc.date.available2012-07-31T10:39:56Z
dc.date.issued1991-07-15
dc.description.abstractWe have carried out a number of simulations to study the dynamical behavior of kinks in the ifJ4 model in the presence of strong fluctuations of its double-well potential. Our work widens the computational and analytical knowledge of this system in four directions. First, we describe in detail a numerical procedure that can be easily generalized to other stochastic, soliton-bearing equations. We demonstrate that it exhibits consistency features never found in previous research on nonlinear stochastic partial differential equations. Second, we fix the range of validity of theoretical approaches based on secular perturbative expansions. We show how this range depends on a combination of noise strength and duration. Third, we numerically study the model beyond the applicability of analytical methods. We compute the main characteristics of kink dynamics in this regime and discuss their stability under this random perturbation. Finally, we introduce dissipation and boundaries in the dynamically disordered model. We establish that the essential consequence of friction action is to soften the noise effects, while boundaries give rise to a critical velocity below which kinks cannot enter the noisy zone.es
dc.description.sponsorshipWe are thankful for partial financial support from the Direccion General de Investigacion Cientifica y Tecnica (DGICyT) through Project No. TIC 73/89. A.S. was supported by the program ((Formacion de Personal Investigador" of the Ministerio de Educación y Ciencia of Spain.es
dc.description.statusPublicadoes
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical Review A, vol. 44, n. 1, 15 july 1991. Pp. 1086-1103es
dc.identifier.doi10.1103/PhysRevA.44.1086
dc.identifier.issn1050-2947 (print version)
dc.identifier.issn1094-1622 (online version)
dc.identifier.urihttp://hdl.handle.net/10016/15039
dc.language.isoenges
dc.publisherAmerican Physical Societyes
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevA.44.1086
dc.rights.accessRightsopen accesses
dc.subject.ecienciaMatemáticases
dc.titleDynamics of a Ø4 kink in the presence of strong potential fluctuations, dissipation, and boundarieses
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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