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The damping rate for the surface wave propagating on the sharp boundary of half-space turbulent plasma is investigated. To derive the bona fide dispersion relation and the damping rate, the transverse truncation method is employed for our model. We found that the surface wave in our model propagates as a dual-mode wave: high and low. The wave frequency of high mode increases proportional to the wave number, but that of low mode saturates to a constant. The damping rate of high frequency mode is found to increase monotonically as the wave number increases, whereas that for the low frequency mode decreases gradually as the wave number increases after passing a peak of damping at a certain value of wave number. For both the high and low modes, the damping rates are enhanced as the value of Dupree diffusion coefficient increases. The damping rates for the dual mode surface waves are compared to that for a bulk wave.

Dual-mode Dupree turbulence damping of the surface plasma wave