Existence of multibreathers in one-dimensional Debye crystals

V. Koukouloyannis, Ioannis Kourakis

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

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.
Original languageEnglish
Article number016402
Pages (from-to)016402/1-016402/10
Number of pages10
JournalPhysical Review E
Volume76
Issue number1
DOIs
Publication statusPublished - 09 Jul 2007

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Fingerprint Dive into the research topics of 'Existence of multibreathers in one-dimensional Debye crystals'. Together they form a unique fingerprint.

  • Cite this

    Koukouloyannis, V., & Kourakis, I. (2007). Existence of multibreathers in one-dimensional Debye crystals. Physical Review E, 76(1), 016402/1-016402/10. [016402]. https://doi.org/10.1103/PhysRevE.76.016402