ENERGY LOCALIZATION AND BREATHER TRAPPING IN ONE
DIMENSIONAL MODELS
Hernán Cortez Gutiérrez 1, Elso Drigo Filho 1 , José Roberto Ruggiero 1,
Jesus Cuevas Maraver 2
1 Departamento Física -Universidade Estadual Paulista ,São José Rio
Preto, Brasil, [email protected]
2
Departamento Física no Lineal-Universidade Sevilla, Sevilla,
Espanha,[email protected]
Abstract: The existence and the stability of nonlinear localized (breathers)
and the breather trapping are investigated in two classes of one dimensional
model, the Peyrard-Bishop (PB) model for DNA and the Symmetric
Peyrard-Bishop model (SPB). Also we analyze the influence of an impurity
(depth of the potential) in the evolution of moving discrete breathers in
these models. We can observe the trapping, excitation and the barrier
regime of the breather mobile using numerical energy density and center of
energy evolution. Also is useful the trapping hypothesis for the comparison
with the simulations. The breather trapping and the localization of energy
can help to understand the existence the phase transitions.
Keywords: Energy localization, Peyrard-Bishop Model, breather trapping,
phase transitions .center of energy evolution.