Complete nonlinear theory of longitudinal-to-transverse dust lattice mode coupling in a single-layer dusty plasma crystal

Yannis Kourakis, P K Shukla

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

A comprehensive nonlinear model is put forward for coupled longitudinal to transverse displacements in a horizontal dust mono-layer, levitated under the combined influence of gravity and an electric and/or magnetic sheath field. A set of coupled nonlinear evolution equations are obtained in a discrete description, and a pair of coupled (Boussinesq-like) PDEs are obtained in the continuum approximation. Finally, the amplitude modulation of the coupled modes is discussed, pointing out the importance of the coupling. All these results are generic, i.e. valid for any assumed form of the inter-grain interaction potential U and the sheath potential Phi.
Original languageEnglish
Pages (from-to)97-101
Number of pages5
JournalPhysica Scripta
VolumeT113
Publication statusPublished - 2004

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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