Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2007-03-12
Phys. Rev. E 76, 016402 (2007)
Nonlinear Sciences
Pattern Formation and Solitons
12 pages, 8 figures, revtex format
Scientific paper
10.1103/PhysRevE.76.016402
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.
Koukouloyannis Vassilis
Kourakis Ioannis
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