High-frequency instabilities in an explosion-generated relativistic plasma

A realistic problem of an explosion-generatedrelativistic plasma is talked about with respect to the instabilitiesdeveloped in such systems. For this, the dispersionequation is derived analytically and solved numerically fortypical values of physical quantities. Our calculations revealthat two types of instabilities occur in the said plasma if thedust particles and relativistic effects of ions and electrons areconsidered. Both types of the instabilities are high-frequencyinstabilities, which carry growth rates of different magnitudes.In view of the magnitudes, the instability havinghigher/lower growth rate is called as high-frequency higher/lower growth rate instability. The relativistic effects of ionssupport the growth of these instabilities, whereas those ofelectrons suppress the growth of the instabilities. The wavespropagating with larger phase velocity are found to grow athigher rates. There exists a critical value of the drift velocityof dust particles, above which another instability startsgrowing but with significantly lower growth rate.