A numerical study of gravity-driven instability in strongly coupled dusty plasma. Part 1. Rayleigh–Taylor instability and buoyancy-driven instability

Rayleigh-Taylor and Buoyancy-driven instabilities are very common for an inhomogeneous medium. We examine here how these grow incompressible viscoelastic fluids like a strongly coupled dusty plasma by using generalized hydrodynamic (i-GHD) fluid model. Since the dust particles pretty massive, gravitational attraction of earth has significant role in its dynamics. In this paper acceleration due to gravity g strong coupling context gravitationally stratified have been considered. find that appearance elasticity speed up growth RT instability reducing effect viscosity at timescales shorter than Maxwell relaxation time ${\tau_m}$. The buoyancy driven situation with spatially localized (in both dimensions) low/high density regions placed background medium also evolved presence gravity. Our studies show get suppressed increasing strength This suppression illustrated analytically as well carrying out two-dimensional fully nonlinear simulation.