Existence and damping of dust acoustic solitary waves in a bounded geometry

Abstract

The propagation of the solitary wave in a dusty plasma bounded in finite geometry has been investigated. By employing the reductive perturbation method, we obtain a quasi Korteweg-de Vries-type equation. It is noted that the larger the value of viscosity coefficient μ(0), the stronger the damping of the solitary wave. On the other hand, the larger the value of the radius of bounded geometry R, the weaker the damping of the solitary wave. It is also found that the quasisolitary wave exists. However, the solitary wave is a damping one, and it will disappear in the limited case of R→0 or μ(0)→+∞.

Particle-in-cell simulation of ion-acoustic solitary waves in a bounded plasma*

“…We consider a two-component electron-ion plasma which is bounded in a finite cylinder with radius R. [45][46][47][48][49] Taking cylindrical coordinates, the equations of the motion of ion fluid are…”

“…Notice that in this limit, the axial and radial equations are completely independent. Accordingly, we take [45][46][47][48]…”

“…Studies of IASWs in a bounded plasma are meaningful because of its importance in laboratory experiments and industrial applications. Some theoretical studies have been done for solitary waves in bounded plasmas, [45][46][47][48][49] such as KdV solitary waves, etc. Following these theoretical works, we study not only KdV solitary waves, but also dark envelope solitons in a bounded plasma by using the PIC simulation method and considering dissipation effects of the plasma fluid.…”

Landau damping in a multi-component dusty plasma

“…As a result, it occurs at relatively long time and space scales (typically 0.1 s and 1 cm, respectively). 19,20 Dissipation caused by friction with the neutral background is usually weak, and, therefore, waves in dusty plasmas can be easily observed at the kinetic level, such as the dust acoustic wave 11,21,22 and dust ion acoustic waves. 12,[23][24][25] Moreover, depending on the strength of inter grain interaction, dusty plasmas can be in weakly coupled or strongly coupled states.…”