Journal of Plasma Physics

Table of Contents - June 2012 - Volume 78, Issue 03  

Papers

Nonlinear theory of longitudinal dust-lattice wave in a magnetic dusty plasma crystal

M. SHAHMANSOURIa1 and B. FAROKHIa1

a1 Department of Physics, Faculty of Science, Arak-University, 38156–8-8349, Arak, Iran (m-shahmansouri@araku.ac.ir)

Abstract

The propagation of dust-lattice waves in two-dimensional hexagonal dusty plasma crystals in the presence of an external weak magnetic field is considered. Linear and nonlinear properties of the longitudinal dust-lattice waves are investigated. Dispersion relation, group velocity and evolution equation are found. The influence of the magnetic field on the propagation of dust-lattice waves is studied. We obtain the envelope evolution equation for longitudinal modes in the presence of a weak magnetic field, which is in the form of the Gross–Pitaevskii equation.

(Received September 24 2011)

(Revised January 01 2012)

(Accepted January 04 2012)

(Online publication February 02 2012)