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

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dc.contributor.author Sánchez, Angel
dc.contributor.author Vázquez, Luis
dc.date.accessioned 2012-07-31T10:39:56Z
dc.date.available 2012-07-31T10:39:56Z
dc.date.issued 1991-07-15
dc.identifier.bibliographicCitation Physical Review A, vol. 44, n. 1, 15 july 1991. Pp. 1086-1103
dc.identifier.issn 1050-2947 (print version)
dc.identifier.issn 1094-1622 (online version)
dc.identifier.uri http://hdl.handle.net/10016/15039
dc.description.abstract We 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.
dc.description.sponsorship We 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.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Physical Society
dc.title Dynamics of a Ø4 kink in the presence of strong potential fluctuations, dissipation, and boundaries
dc.type article
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1103/PhysRevA.44.1086
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1103/PhysRevA.44.1086
dc.rights.accessRights openAccess
dc.type.version publishedVersion
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