Energy localization in the Peyrard-Bishop DNA model
dc.contributor.author | De Luca, Jayme | |
dc.contributor.author | Drigo Filho, Elso [UNESP] | |
dc.contributor.author | Ponno, Antonio | |
dc.contributor.author | Ruggiero, José Roberto [UNESP] | |
dc.contributor.institution | Universidade Federal de São Carlos (UFSCar) | |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
dc.contributor.institution | Dipartimento di Matematica “F. Enriques” | |
dc.date.accessioned | 2022-04-28T20:40:12Z | |
dc.date.available | 2022-04-28T20:40:12Z | |
dc.date.issued | 2004-01-01 | |
dc.description.abstract | We 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.affiliation | Universidade Federal de São Carlos Departamento de Física Rodovia Washington Luis, São Carlos, 13565-905 | |
dc.description.affiliation | Universidade 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.affiliation | Università degli Studi di Milano Dipartimento di Matematica “F. Enriques”, Via Saldini 50, Milano, 20133 | |
dc.description.affiliationUnesp | Universidade 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.extent | 9 | |
dc.identifier | http://dx.doi.org/10.1103/PhysRevE.70.026213 | |
dc.identifier.citation | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 70, n. 2, p. 9-, 2004. | |
dc.identifier.doi | 10.1103/PhysRevE.70.026213 | |
dc.identifier.issn | 1063-651X | |
dc.identifier.scopus | 2-s2.0-42749100398 | |
dc.identifier.uri | http://hdl.handle.net/11449/225146 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics | |
dc.source | Scopus | |
dc.title | Energy localization in the Peyrard-Bishop DNA model | en |
dc.type | Artigo |