Compressibility effects on Rayleigh–Taylor instability in a vertical inhomogeneous rotating plasma

Compressibility effects on Rayleigh–Taylor instability in inhomogeneous plasma rotating uniformly in an external vertical magnetic field have been investigated. Using the exponential density distribution and in the presence of a fixed boundary condition, the linear growth rate is obtained for a finite compressible plasma layer. As well as the linear growth rate of a heavy compressible plasma layer supported by a lighter one is obtained. It is shown that, in the case of a finite compressible plasma layer and in the absence of an external magnetic field the system is always instable, while in the presence of an external magnetic field the system capitulates to the stability role that plays it. In the case of two compressible plasma layers, the compressibility (the ratio of specific heat values) has a stabilizing role that increases with the presence of an external vertical magnetic field. While the equilibrium pressure at the interface has an instability effect on the growth rates