Dynamics of a dust crystal with positive and negative dust

Computer Science – Numerical Analysis

Scientific paper

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Dusty Plasmas, Crystals, Numerical Analysis, Acoustic Dispersion, Plasma Nonlinear Processes, Dusty Or Complex Plasmas, Plasma Crystals

Scientific paper

A dust crystal consisting of charged dust grains of alternating charge sign (.../+/-/+/-/+/...) and mass is considered. Considering the equations of longitudinal motion, a linear dispersion relation is derived from first principles, and then analyzed. Two modes are obtained, including an acoustic mode and an inverse-dispersive optic-like one. The nonlinear aspects of longitudinal dust grain motion are also briefly addressed, via a Boussineq and Korteweg- de Vries description.

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