Ion-acoustic surface waves in a semi-bounded Lorentzian plasma

The dispersion properties of the ion-acoustic surface waves propagating on a boundary of semi-bounded Lorentzian (kappa) plasma is kinetically investigated. The real and the imaginary parts of the wave frequency are obtained as functions of the normalized wave number kxλe where kx is the x-component of the wave number and λe is the electron Debye length. The phase speed of the wave is found be decreased as the spectral index κ of the Lorentzian distribution function is decreased. In the long wavelength limit, it becomes a constant which depends on the value of κ. The wave displays the resonance at as expected in the case of a Maxwellian plasma. The imaginary part of the wave frequency appears to be negative which exhibits the linear wave dissipation in a collisionless plasma called Landau damping. The maximum damping rate is obtained as , where Mκ is a κ-dependent factor and m/M is the electron–ion mass ratio. Landau damping disappears as kxλe → ∞.

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