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The electrostatic modes of dusty ion-acoustic surface waves propagating on the interface between a vacuum and a Lorentzian plasma are kinetically investigated by using the dispersion relation based on the Vlasov-Maxwell equations. In the long wavelength limit, the ion-acoustic surface wave in a dusty Lorentzian plasma is found to be slower as the non-thermality increases, i.e., the spectral index  decreases, when the phase velocity is in the range of vi  !/kx  ve. The wave is, however, found to be faster as the ratio of ions to electrons, , increases. The results show that, compared to the parameter  or , both the phase and the group velocities of the wave are relatively insensitive to the wavelength when kxe ! 0.


The electrostatic modes of dusty ion-acoustic surface waves propagating on the interface between a vacuum and a Lorentzian plasma are kinetically investigated by using the dispersion relation based on the Vlasov-Maxwell equations. In the long wavelength limit, the ion-acoustic surface wave in a dusty Lorentzian plasma is found to be slower as the non-thermality increases, i.e., the spectral index  decreases, when the phase velocity is in the range of vi  !/kx  ve. The wave is, however, found to be faster as the ratio of ions to electrons, , increases. The results show that, compared to the parameter  or , both the phase and the group velocities of the wave are relatively insensitive to the wavelength when kxe ! 0.