Influence of dust mass distributions on generalized JeansBuneman instabilities in dusty plasmas
Abstract
The linear dispersion law is given for a generalized JeansBuneman instability in the presence of a dust mass distribution. It is shown that this instability is easier to evoke when a reasonable power law mass distribution for the dust grains is assumed than for the monosized dust case. For Boltzmann distributed ions and electrons the dustacoustic mode and the unstable Jeans mode are modified due to the selfgravitation and mass distribution. The frequency of the dustacoustic mode is increased. For long wavelengths, a new stable mode occurs, due only to the dust mass distribution. The growth rate of the Jeans instability is increased, and the mode is extended beyond the usual wavelength domain. For high values of k a new instability arises, which is called the dust distribution instability.
 Publication:

Planetary and Space Science
 Pub Date:
 April 1997
 DOI:
 10.1016/S00320633(96)001559
 Bibcode:
 1997P&SS...45..449M