Nonlinear gravito-electrostatic waves in self-gravitating complex plasma in presence of ion-drag effects

We present theoretical model analysis to study fully nonlinear behavior of gravito-electrostatic fluctuations in unmagnetized self-gravitating collisional dust cloud in presence of the ion-drag forces methodologically on the Jeans scales of space and time. The ion-drag effect as a result of streaming plasma ions arises here due to the ion orbital motion (scattering effect by dust) and the ion momentum transfer (capturing effect by dust) processes in opposite phase with the electrostatic force field. All the realistic astrophysical processes, such as electron impact-ionization of the neutral atoms, volume recombination, attachment of the electrons and ions to the dust grains and the collective plasma particle collisions are jointly considered. The Sagdeev pseudo-potential formulation is methodologically carried out in modified form to derive a new pair of gravito-electrostatically coupled energy integral equations. A numerical analysis is made to see the fluctuation features in judicious plasma parameter window. It is shown that the fluctuation dynamics evolves as self-gravitational rarefactive solitary structures and electrostatic compressive shock-like spectral patterns. The new features brought about by the considered ion-drag effects are discussed in the light of the existing theoretical, experimental and satellite-based predictions. The relevance of our results to understand the dynamics of self-gravitational collapse leading to galactic structure formation in interstellar space is briefly summarized.