Generation of convective cells by iondrift waves in dusty plasmas
Abstract
The parametric excitation of largescale convective cells in nonuniform dusty plasmas with nonzero ion temperature is considered. A set of two coupled nonlinear equations (for the variation of the electrostatic potential and the ion pressure) governing the nonlinear dynamics of iondrift waves in dusty plasmas (IDWDPs) is obtained. The equations are then simplified by using a standard multiscale expansion technique. A nonlinear dispersion relation, which describes the nonlinear electrostatic and thermal convective cells, is obtained. The analysis of our dispersion relation shows that only the electrostatic mode yields a nonzero growth rate. The thermal convective cell is found to be stable. A simple expression for the maximum instability growth rate and the optimal dimension of the convective mode is deduced. The fastest growing wave appears to be a zerofrequency mode, elongated perpendicularly to the plasma inhomogeneity. The electrostatic convective cell growth rate is compared with that for the traditional parametric IDWDP decay.
 Publication:

Journal of Plasma Physics
 Pub Date:
 2006
 DOI:
 10.1017/S0022377806004545
 Bibcode:
 2006JPlPh..72..771P