Energy localization in the Peyrard-Bishop DNA model

dc.contributor.authorDe Luca, Jayme
dc.contributor.authorDrigo Filho, Elso [UNESP]
dc.contributor.authorPonno, Antonio
dc.contributor.authorRuggiero, José Roberto [UNESP]
dc.contributor.institutionUniversidade Federal de São Carlos (UFSCar)
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionDipartimento di Matematica “F. Enriques”
dc.date.accessioned2022-04-28T20:40:12Z
dc.date.available2022-04-28T20:40:12Z
dc.date.issued2004-01-01
dc.description.abstractWe study energy localization on the oscillator chain proposed by Peyrard and Bishop to model DNA. We search numerically for conditions with initial energy in a small subgroup of consecutive oscillators of a finite chain and such that the oscillation amplitude is small outside this subgroup on a long time scale. We use a localization criterion based on the information entropy and verify numerically that such localized excitations exist when the nonlinear dynamics of the subgroup oscillates with a frequency inside the reactive band of the linear chain. We predict a mimium value for the Morse parameter [Formula presented] (the only parameter of our normalized model), in agreement with the numerical calculations (an estimate for the biological value is [Formula presented]). For supercritical masses, we use canonical perturbation theory to expand the frequencies of the subgroup and we calculate an energy threshold in agreement with the numerical calculations. © 2004 The American Physical Society.en
dc.description.affiliationUniversidade Federal de São Carlos Departamento de Física Rodovia Washington Luis, São Carlos, 13565-905
dc.description.affiliationUniversidade Estadual Paulista “Julio de Mesquita Filho” Instituto de Biociências letras e Ciências Exatas Departamento de Física, Rua Cristovão Colombo 2265, São Paulo, 15054-000
dc.description.affiliationUniversità degli Studi di Milano Dipartimento di Matematica “F. Enriques”, Via Saldini 50, Milano, 20133
dc.description.affiliationUnespUniversidade Estadual Paulista “Julio de Mesquita Filho” Instituto de Biociências letras e Ciências Exatas Departamento de Física, Rua Cristovão Colombo 2265, São Paulo, 15054-000
dc.format.extent9
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.70.026213
dc.identifier.citationPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 70, n. 2, p. 9-, 2004.
dc.identifier.doi10.1103/PhysRevE.70.026213
dc.identifier.issn1063-651X
dc.identifier.scopus2-s2.0-42749100398
dc.identifier.urihttp://hdl.handle.net/11449/225146
dc.language.isoeng
dc.relation.ispartofPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
dc.sourceScopus
dc.titleEnergy localization in the Peyrard-Bishop DNA modelen
dc.typeArtigo

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