Effect of Regularized \(\kappa \) Distribution and Polarization Force on the Dust Acoustic Waves in the Mesosphere Region

Dust acoustic waves (DAWs) in a magnetized plasma with positive dust grains are carried out as affected by superthermal spectral index, cutoff parameter, plasma temperature, and density. The fluid equations considering polarization force (PF) are used to analyze the plasma environment. Reductive perturbation technique (RPT) and small k expansion technique (SKET) are used for deducing the Zakharov-Kuznetsov (ZK) equation and obtaining the growth rate (GR) of instability DAWs, respectively. The variation of dispersion relation (DR), profile, and instability GR of DAWs with superthermal spectral index, cutoff parameter, external magnetic field, plasma temperature, and density has been discussed. It indicates that the increasing superthermal spectral index and the decreasing cutoff parameter lead to the increasing frequency. The instability GR raises slowly with the increscent superthermal spectral index and decreasing cutoff parameter. In space environments, these interesting results will be important for a positively charged dust plasma with regularized \(\kappa \) distributed electrons in the presence of polarization force.