Investigating the Effects of Coupling in Strongly Coupled Dusty Plasma: A Comparative Study of Coupling Parameter Representations

Abstract

Dusty plasma can exist in a wide range, from the laboratory to Saturn’s rings. The coupling parameter plays a crucial role in diagnosing dusty plasma. There are two ways to deal analytically with the effect of coupling in plasma. First, where the coupling parameter is represented with the help of viscoelastic relaxation time $(\tau _{m})$ and, second, where the electrostatic temperature $(d)$ represents the coupling parameters, in this work, we have used both techniques in a strongly coupled four-component plasma in which we have considered the dynamics of negatively charged dust grains and $q-$ nonextensive distribution for electrons, ions, and positrons. The main focus of this particular work is to find out the operational regions and validity of these two techniques. The result of this article will give future researchers an idea of how coupling would be encountered in a dusty plasma system.