Effects of dust temperature and radiative heat-loss functions on the magnetogravitational instability of viscoelastic dusty plasma

The effects of dust temperature and radiative heat-loss functions on the instability of selfgravitating homogeneous viscoelastic dusty plasma have been studied using the modified GH model. A general dispersion relation representing the dust temperature, radiative heat-loss functions, magnetic field, thermal conductivity and relaxation time parameters are obtained using the normal mode analysis method in the linearized perturbation equations system. Jeans criteria that represent the onset of instability of selfgravitating medium are obtained under the limits; when the medium behaves like a viscous liquid (strongly coupled limit) and a Newtonian liquid (weakly coupled limit) for some limiting cases. The effects of various parameters on the Jeans instability criteria and on the growth rate of selfgravitating viscoelastic dusty plasma have been discussed. It is found that the dust temperature and radiative heat-loss functions modify the instability criterion by reducing the critical wave number.