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dc.creatorAchilleos, V. A.
dc.creatorÁlvarez Chillida, María Azucena
dc.creatorCuevas-Maraver, Jesús
dc.creatorFrantzeskakis, Dimitri J.
dc.creatorKarachalios, Nikolaos I.
dc.creatorKevrekidis, Panayotis G.
dc.creatorSánchez-Rey, Bernardo
dc.date.accessioned2015-05-15T10:49:21Z
dc.date.available2015-05-15T10:49:21Z
dc.date.issued2013
dc.identifier.issn01672789es
dc.identifier.urihttp://hdl.handle.net/11441/24876
dc.description.abstractWe study deterministic escape dynamics of the discrete Klein-Gordon model with a repulsive quartic on-site potential. Using a combination of analytical techniques, based on differential and algebraic inequalities and selected numerical illustrations, we first derive conditions for collapse of an initially excited single-site unit, for both the Hamiltonian and the linearly damped versions of the system and showcase different potential fates of the single-site excitation, such as the possibility to be "pulled back" from outside the well or to "drive over" the barrier some of its neighbors. Next, we study the evolution of a uniform (small) segment of the chain and, in turn, consider the conditions that support its escape and collapse of the chain. Finally, our path from one to the few and finally to the many excited sites is completed by a modulational stability analysis and the exploration of its connection to the escape process for plane wave initial data. This reveals the existence of three distinct regimes, namely modulational stability, modulational instability without escape and, finally, modulational instability accompanied by escape. These are corroborated by direct numerical simulations. In each of the above cases, the variations of the relevant model parameters enable a consideration of the interplay of discreteness and nonlinearity within the observed phenomenology. © 2012 Elsevier B.V. All rights reserved.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.relation.ispartofPhysica D: Nonlinear Phenomena, 244(1), 1-24es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectBreatherses
dc.subjectCollapseen
dc.subjectDiscrete Hamiltonian systemsen
dc.subjectEscape dynamicsen
dc.subjectModulation instabilityen
dc.subjectNonlinear latticesen
dc.titleEscape dynamics in the discrete repulsive φ4 modeles
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Física Aplicada Ies
dc.relation.publisherversionDOI: 10.1016/j.physd.2012.10.008es
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0167278912002758es
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.physd.2012.10.008
dc.identifier.doi10.1016/j.physd.2012.10.008
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/24876

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