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Unstable electrostatic surface waves in a turbulent plasma containing streaming ions: transverse truncation approach

The unstable modes of surface waves propagating in a sharply bounded turbulent plasma containing streaming ions are investigated by employing the specular reflection condition and the transverse truncation method. We have found that the bounded turbulent plasma supports damping and growing modes. The damping mode propagates for all values of the ion streaming speed modes and their behavior is similar to the case of surface waves in a turbulent plasma without ion streaming. If the speed of ion streaming is larger than the ion-acoustic speed, growing mode exists for all values of the wave number. However, if the ion stream is slower than the ion acoustic speed, then the growing mode appears under a certain condition. We derive the dispersion relations for such modes of surface waves and investigate the condition for propagation.