2007/03/31 by V. Koukouloyannis, I. Kourakis · 14 citations
Physics and Astronomy · #Classical mechanics #Condensed matter physics #Debye #Debye length #Debye sheath #Dust and Plasma Wave Phenomena #Dusty plasma #Lattice (music) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Plasma #Quantum mechanics #Transverse plane #nlin.PS
paper · pdf · doi:10.1103/physreve.76.016402
published in Physical Review E 76(1), 016402 (American Physical Society) · 12 pages, 8 figures, revtex format
arxiv created 2007/04/16 · openalex publication_date 2007/07/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The existence of highly localized multisite 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 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.