Growth rates of space-charge waves in a Lorentzian plasma waveguide

Abstract

The non-thermal effects on the growth rate of the space charge wave are investigated in a Lorentzian dusty
plasma-filled waveguide by employing the normal mode analysis and the method of separation of variables.
The growth rate and the real frequency of the space charge wave are obtained as functions of the harmonic
roots of the Bessel function and the spectral index of the Lorentzian plasma. It is shown that the non-thermal
effect suppresses the real frequency of the space-charge wave. In addition, the scaled growth rate decreases
with an increase of the spectral index. Hence, we have found that the growth rates in non-thermal plasmas are
always smaller than those in thermal plasmas. It was shown that the influence of non-thermal character plays a
crucial role on the space-charge wave due to the coupling interaction of the streaming ions with non-thermal
electrons in a Lorentzian dusty plasma waveguide. These results would provide useful information on the nonthermal
effects on the space-charge wave in non-Maxwellian multi-component plasma waveguides.