Artículos de revistas
Energy localization in the Peyrard-Bishop DNA model
Fecha
2004-01-01Registro en:
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 70, n. 2, p. 9-, 2004.
1063-651X
10.1103/PhysRevE.70.026213
2-s2.0-42749100398
Autor
Universidade Federal de São Carlos (UFSCar)
Universidade Estadual Paulista (UNESP)
Dipartimento di Matematica “F. Enriques”
Institución
Resumen
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.