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Generation of convective cells by ion-drift waves in dusty plasmas

Published online by Cambridge University Press:  23 May 2006

O. A. POKHOTELOV ,
O. G. ONISHCHENKO ,
R. Z. SAGDEEV ,
L. STENFLO ,
P. K. SHUKLA  and
N. BELOFF
O. A. POKHOTELOV
Affiliation:
Department of Automatic Control and Systems Engineering, Sheffield University, P.O. Box 600, Mappin Street, Sheffield S1 3JD, UK
O. G. ONISHCHENKO
Affiliation:
Institute of Physics of the Earth, 10 B. Gruzinskaya, 123995 Moscow, Russia
R. Z. SAGDEEV
Affiliation:
Department of Physics, University of Maryland, College Park, MD 20740, USA
L. STENFLO
Affiliation:
Department of Physics, Umeå University, SE-90187 Umeå, Sweden
P. K. SHUKLA
Affiliation:
Department of Physics, Umeå University, SE-90187 Umeå, Sweden Institut für Theoretische Physik IV, Ruhr-Universität Bochum, D-44780 Bochum, Germany
N. BELOFF
Affiliation:
University of Sussex, Center for Space Science, Brighton, East Sussex BN1 9QT, UK
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Abstract

The parametric excitation of large-scale convective cells in non-uniform dusty plasmas with non-zero 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 ion-drift 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 non-zero 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 zero-frequency mode, elongated perpendicularly to the plasma inhomogeneity. The electrostatic convective cell growth rate is compared with that for the traditional parametric IDWDP decay.

Type
Papers
Information
Journal of Plasma Physics , Volume 72 , Issue 5 , October 2006 , pp. 771 - 778
Copyright
2006 Cambridge University Press

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