Shukla-Spatschek diffusion effects on the spatial damping of space-charge waves in a turbulent plasma waveguide

The physical characteristics of the spatial damping of the space-charge plasma wave are investigated in a turbulent plasma waveguide. The dispersion relation for the space-charge plasma wave is derived including the propagation wave number as well as the spatial damping rate including the Shukla-Spatschek diffusion effect. The results show that the propagation wave number and the spatial damping rate increase with increasing the wave frequency. It is found that the influence of plasma turbulence enhances the spatial damping rate of the space-charge wave. It is also found that the propagation wave number and spatial damping rate with a higher-order root of the Bessel solution are greater than those with a lower-order root. In addition, it is found that the spatial damping rate decreases with an increase of the thermal energy. Moreover, it is found that the propagation wave number and the spatial damping rate decrease with increasing the radius of the waveguide. The variation of the spatial damping due to the turbulent diffusion, thermal, and geometric effects is also discussed.