Weakly nonlinear vertical dust grain oscillations in dusty plasma crystals in the presence of a magnetic field

Yannis Kourakis, P K Shukla

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The weakly nonlinear regime of transverse paramagnetic dust grain oscillations in dusty (complex) plasma crystals is discussed. The nonlinearity, which is related to the sheath electric/magnetic field(s) and to the intergrain (electrostatic/magnetic dipole) interactions, is shown to lead to the generation of phase harmonics and, in the case of propagating transverse dust-lattice modes, to the modulational instability of the carrier wave due to self-interaction. The stability profile depends explicitly on the form of the electric and magnetic fields in the plasma sheath. The long term evolution of the modulated wave packet, which is described by a nonlinear Schrodinger-type equation, may lead to propagating localized envelope structures whose exact forms are presented and discussed. Explicit suggestions for experimental investigations are put forward. (C) 2004 American Institute of Physics.
Original languageEnglish
Pages (from-to)3665-3671
Number of pages7
JournalPhysics of Plasmas
Volume11
Issue number7
DOIs
Publication statusPublished - Jul 2004

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics

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