2004/04/20 by Ioannis Kourakis, I. Kourakis, P. K. Shukla +1 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dust and Plasma Wave Phenomena #High-pressure geophysics and materials #physics.atm-clus #physics.plasm-ph
paper · pdf · doi:10.1063/1.1763577
9 pages, 4 figures, submitted to Physics of Plasmas
arxiv created 2004/04/20 · openalex publication_date 2004/06/18 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28
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 Schrödinger-type equation, may lead to propagating localized envelope structures whose exact forms are presented and discussed. Explicit suggestions for experimental investigations are put forward.