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Existence of multi-site intrinsic localized modes in one-dimensional Debye crystals

V. Koukouloyannis·I. Kourakis
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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.

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V. Koukouloyannis, I. Kourakis. 2007-04-16. Existence of multi-site intrinsic localized modes in one-dimensional Debye crystals. https://doi.org/10.1103/physreve.76.016402

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