Existence of multi-site intrinsic localized modes in one-dimensional Debye crystals
Abstract
The existence of highly localized multi-site oscillatory structures (discrete multibreathers) in a nonlinear Klein-Gordon chain which is characterized by an inverse dispersion law is proven and their linear stability is investigated. The results are applied in the description of vertical (transverse, off-plane) dust grain motion in dusty plasma crystals, by taking into account the lattice discreteness and the sheath electric and/or magnetic field nonlinearity. Explicit values from experimental plasma discharge experiments are considered. The possibility for the occurrence of multibreathers associated with vertical charged dust grain motion in strongly-coupled dusty plasmas (dust crystals) is thus established. From a fundamental point of view, this study aims at providing a first rigorous investigation of the existence of intrinsic localized modes in Debye crystals and/or dusty plasma crystals and, in fact, suggesting those lattices as model systems for the study of fundamental crystal properties.
Keywords
Cite
@article{arxiv.nlin/0703020,
title = {Existence of multi-site intrinsic localized modes in one-dimensional Debye crystals},
author = {V. Koukouloyannis and I. Kourakis},
journal= {arXiv preprint arXiv:nlin/0703020},
year = {2007}
}
Comments
12 pages, 8 figures, revtex format