Modified dynamics of dust Coulomb waves due to polarization force in gravitating viscoelastic fluid

This paper investigates the influence of dust polarization force on the excitation of linear dust Coulomb waves (DCWs) in dense, gravitating viscoelastic fluid with high fugacity ($f\gg 1$). The dust polarization force significantly modifies the dispersion properties of DCWs and Jeans instability in the regime of high dust fugacity. In the low-fugacity limit ($f\ll 1$), the plasma exhibits typical dust acoustic wave (DAW) characteristics, whereas in dense regions DCWs dominate, introducing viscoelastic effects that alter instability conditions. The properties of DCWs modified by polarization force have been examined for a lunar dusty plasma environment that possesses a high fugacity parameter. The presence of these parameters also modifies the Jeans instability criterion and the critical wavenumber, which set the threshold to make a system gravitationally unstable. The viscoelastic effects stabilize, whereas dust polarization has a destabilizing influence on the growth rate of the Jeans instability in diffuse dust molecular clouds.