Modulated wavepackets associated with longitudinal dust grain oscillations in a dusty plasma crystal

Details Modulated wavepackets associated with longitudinal dust grain oscillations in a dusty plasma crystal Modulated wavepackets associated with longitudinal dust grain oscillations in a dusty plasma crystal

2004-02-09

arxiv.org/abs/cond-mat/0402261v1

Physics

Condensed Matter

Soft Condensed Matter

18 pages, 7 figures, to appear in Physics of Plasmas

Scientific paper

10.1063/1.1687417

The nonlinear amplitude modulation of longitudinal dust lattice waves (LDLWs) propagating in a dusty plasma crystal is investigated in a continuum approximation. It is shown that long wavelength LDLWs are modulationally stable, while shorter wavelengths may be unstable. The possibility for the formation and propagation of different envelope localized excitations is discussed. It is shown that the total grain displacement bears a (weak) constant displacement (zeroth harmonic mode), due to the asymmetric form of the nonlinear interaction potential. The existence of asymmetric envelope localized modes is predicted. The types and characteristics of these coherent nonlinear structures are discussed.

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