Non-thermal effects on decay of Lorentzian Trivelpiece-Gould waves

Abstract

The non-thermal effects on the low-frequency ion-acoustic Trivelpiece-Gould (TG) wave are examined in a Lorentzian weakly ionized dusty plasma waveguide such as the Hanyang University Diverter Plasma Simulator-2 (DiPS-2). By using the normal mode analysis and the separation of variables, the dispersion relation and the damping modes are obtained for the low-frequency ion-acoustic TG wave in a Lorentzian weakly ionized dusty plasma waveguide. With typical conditions of DiPS-2 such as plasma density $n_{e}\cong n_{i}<10^{11}~{\rm cm}^{-3}$ , ion-neutral collision frequency $\nu_{in}\approx 20~{\rm kHz}$ , electron temperature $T_{e}\cong 1\text{--}10\ \text{eV}$ , and ion temperature $T_{i}\cong 0.1~{\rm eV}$ , the following is found: 1) the magnitude of the damping rates of the low-frequency ion-acoustic TG wave in Lorentzian plasmas are always greater than those in Maxwellian plasmas; 2) the ion-acoustic TG wave for the first harmonic mode can also be existed for the shortest period of time; 3) the ion-acoustic TG wave in a smaller waveguide can be existed for a wide range of the wave number; and 4) the non-thermal character of a Lorentzian plasma enhances the anti-symmetric behavior of the damping rate for the ion-acoustic TG wave.