Cylindrical and spherical dust ion-acoustic shock waves in dusty plasmasA. A. Mamun and P. K. Shukla
Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum D-44780 Bochum, Germany, EU
received 3 July 2009; accepted in final form 16 July 2009; published July 2009
published online 28 July 2009
Properties of cylindrical and spherical dust-ion-acoustic (DIA) shock waves in an unmagnetized dusty plasma are investigated. We use the hydrodynamic equations for inertial ions, a Boltzmann law for the electron density distribution, and the fluctuation of charges on immobile dust grains, to derive the modified Burgers equation. The latter, which contains a dissipative term arising from the dust charge fluctuation, governs the dynamics of cylindrical and spherical DIA shocks. Numerical solutions of the modified Burgers equation are presented. It is found that properties of the cylindrical and spherical DIA shock waves significantly differ from those of one-dimensional planar shock.
52.27.Lw - Dusty or complex plasmas; plasma crystals.
52.35.Tc - Shock waves and discontinuities.
52.35.Mw - Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.).
© EPLA 2009