Discrete breathers at the interface between a diatomic and monoatomic granular chain
Pattern Formation and Solitons
2010-12-14 v1
Abstract
In the present work, we develop a systematic examination of the existence, stability and dynamical properties of a discrete breather at the interface between a diatomic and a monoatomic granular chain. We remarkably find that such an "interface breather" is more robust than its bulk diatomic counterpart throughout the gap of the linear spectrum. The latter linear spectral gap needs to exist for the breather state to arise and the relevant spectral conditions are discussed. We illustrate the minimal excitation conditions under which such an interface breather can be "nucleated" and analyze its apparently weak interaction with regular highly nonlinear solitary waveforms.
Cite
@article{arxiv.1012.2407,
title = {Discrete breathers at the interface between a diatomic and monoatomic granular chain},
author = {C. Hoogeboom and G. Theocharis and P. G. Kevrekidis},
journal= {arXiv preprint arXiv:1012.2407},
year = {2010}
}
Comments
11 pages, 10 figures