Discrete gap breathers in a diatomic Klein-Gordon chain: Stability and mobility (bibtex)
@article{GJ2003,
abstract = {A one-dimensional diatomic chain with harmonic intersite potential
and nonlinear external potential is considered (the Klein-Gordon
model). Localized solutions of the corresponding nonlinear differential
equations with frequencies inside the gap of the linear wave spectrum-{''}gap
breathers{''}-are studied numerically. The linear stability analysis
for these solutions is performed while changing the system parameters
from the anticontinuous to the continuous limit. Two different types
of solutions are considered: symmetric centered at a heavy atom and
antisymmetric centered at a light atom, respectively. Different mechanisms
of instability, oscillatory as well as nonoscillatory, of the gap
breathers are studied, and the influence of the instabilities on
the breather solutions is investigated in the dynamics simulations.
In particular, the presence of an ``inversion of stability{''} regime,
with simultaneous nonoscillatory instabilities of symmetric and antisymmetric
solutions with respect to antisymmetric perturbations, is found,
yielding practically radiationless mobility.},
author = {Gorbach, A V and Johansson, M},
doi = {10.1103/PhysRevE.67.066608},
issn = {1063-651X},
journal = {PHYSICAL REVIEW E},
month = {jun},
number = {6, Part 2},
title = {{Discrete gap breathers in a diatomic Klein-Gordon chain: Stability and mobility}},
volume = {67},
year = {2003}
}
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