Landau damping of acoustic waves at the effect of variable dust size and charge of plasma dust grains

Abstract EN

Landau damping is a phenomenon observed in plasma wherein there is an exponential decay in the oscillations of the number density of electrons.

Collision less damping of electrical waves in plasma is investigated in the frame of the classical formulation of the problem.

In the presence of hybrid nontheremal nonextensive electrons, the effect of variable dust size and charge on the Landau damping of acoustic waves is studied.

Using Vlasov – Poisson`s equations with the kinetic theory, Landau damping of dust acoustic waves (DAWs) propagating characteristics with negatively charged dust grains and Maxwellian ion distribution are investigated.

The charging of dust grains with different sizes obeys the power law dust size distribution described by the orbital-motion-limited theory.

The dependence of the wave frequency ? on the different dust radii for wave numbers are plotted, also, the Phase diagram of both the grain radius of dusty plasma and the wave number affected the presence of the Landau damping are plotted.

There are first, second and third regions in the diagram.

This study could be useful for such distribution exists as in the space situations.