Modified Jeans instability of collisional dusty magnetoplasma in presence of radiative cooling and dust charge fluctuation

Abstract

We have investigated the modifications in the self-gravitational instability of magnetized collisional dusty plasma, arising from the radiative effects of electrons and ions, and charge fluctuation of dust. The electron and ion dynamics are described by their radiative effects and considering the full dynamics of dust and neutrals, the general dispersion relation is derived. The properties of the general dispersion relation are discussed in the absence and presence of dust charge fluctuation. The results of these two cases are further reduced for parallel and perpendicular modes of propagation. The consequences of magnetic field, collisions, dust charge fluctuation, and radiative condensation on the growth rate of self-gravitational instability are discussed analytically and graphically. We found that the radiative effects and dust charge variation increase the growth rate of self-gravitational instability while the presence of magnetic field and collisions shows the stabilizing behavior. The findings are discussed in context of the structure formation in interstellar clouds.