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.

12 pages, 8 figures, revtex format

References in corpus (8)

• Discrete Breathers
• On the Existence of Localized Excitations in Nonlinear Hamiltonian Lattices
• Demonstration of the stability or instability of multibreathers at low coupling
• Nonlinear vertical oscillations of a particle in a sheath of a rf discharge
• Nonlinear theory of solitary waves associated with longitudinal particle motion in lattices - Application to longitudinal grain oscillations in a dust crystal
• Modulated wavepackets associated with longitudinal dust grain oscillations in a dusty plasma crystal
• Nonlinear modulation of transverse dust lattice waves in complex plasma crystals
• Weakly nonlinear vertical dust grain oscillations in dusty plasma crystals in the presence of a magnetic field

Cited by in corpus (5)

• Stable higher-charge discrete vortices in hexagonal optical lattices
• Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
• Multibreather and vortex breather stability in Klein--Gordon lattices: Equivalence between two different approaches
• Discrete Breathers in Hexagonal Dusty Plasma Lattices
• Existence and stability of multisite breathers in honeycomb and hexagonal lattices