Ion-Acoustic Surface Waves in a Complex Plasma with Lorentzian Distribution

The electrostatic modes of dusty ion-acoustic surface waves propagating on the interface between a vacuum and a complex (dusty) plasma are kinetically investigated by using the dispersion relation based on the Vlasov-Maxwell equations. The complex plasma consists of the electron and ion plasmas with Lorentzian distributions and dust particles in the form of $f_{d}$ = $n_{d}$\textit{$\delta $}($r-r_{d})$ where $r_{d}$ indicates the location of dust particles. In the long wavelength limit, the ion-acoustic surface wave in a complex Lorentzian plasma is found to be slower as the non-thermality of electron and ion plasmas increases when the phase velocity is in the range of $v_{i}<<\omega $/$k_{x}<