Jeans gravitational instability in a collisional nonextensive dusty plasma with polarization force

In this paper, using the hydrodynamic model, the Jeans gravitational instability in a dusty plasma with q-nonextensive velocity distributions is investigated. The change in the Jeans instability criterion and growth rate due to the effects of the dust-ion collision, polarization force, and nonextensivity parameters are analyzed in the dust acoustic frequency range. It is shown that by increasing the nonextensivity and polarization parameters, the threshold condition and growth rate of the instability enhance. Furthermore, it is represented that the dust-ion collisions have a stabilizing influence on the growth rate of the instability and drive the system toward thermal equilibrium. These results can be applied to astrophysical phenomena such as the collapse of interstellar gas clouds and subsequent star formation, and also, in the laboratory dusty plasmas.