Resonant instabilities mediated by drag and electrostatic interactions in laboratory and astrophysical dusty plasmas

In this work, we present analysis of a number of resonance-induced instabilities relevant to dusty plasmas in both laboratory and astrophysical environments. We show that the perturbative approach introduced by Hopkins and Squire to describe the linear growth of resonant drag instabilities (RDIs) is generally applicable to a range of instabilities in dusty plasmas due to the large separation of species mass and density in these systems. We focus on the acoustic RDI, dust-ion-acoustic streaming instability, and filamentary ionization instability. Calculating their growth rates under varied conditions, we find that these modes should appear in strongly overlapping regimes, suggesting the relevance of experimental studies to astrophysical environments such as active galactic nucleus outflows, planetary nebula winds, and shocked interstellar medium. We then consider the nonlinear evolution, interaction, and eventual saturation of these modes, and the resulting impact on the evolution of astrophysical dusty plasmas.