Nonlinear Dust Acoustic Waves in Nonuniform Complex Plasma under the Effect of Tsallis Polarization Force

In the present article, we analyzed the effects of Tsallis (or nonextensive) polarization force on nonlinear dust acoustic waves (DAWs). The polarization force acting on dust particles in a nonuniform dusty plasma is then revisited within the theoretical framework of the nonextensive statistical mechanics. The behavior of the polarization force is considerably changed due to the presence of nonextensive ions. Specifically, we showed that, for both experimental and space dusty plasmas, the magnitude of the polarization force (in the case where q > 1) increases as the ion nonextensivity becomes significant. As an application, we studied the changes caused by the nonextensive polarization force on the intrinsic properties of the DAW, namely, the wave profile, the transported energy, and the electric field. In particular, we have shown that due to the presence of nonextensive polarization force, the DA wave profile becomes deeper and the transported energy undergoes depletion. For a good understanding, we have also carried out a comparative study on the effects of the nonextensive polarization force on the DAW and its energy associated with both space and experimental dusty plasmas. We have found that, for a given value of the nonextensive parameter q, the DAW profile of the experimental dusty plasma seems more affected by the presence of the Tsallis polarization force.