Effect of thermal conductivity on gravitational instability of quantum plasma having fine dust particles

Effect of thermal conductivity on gravitational instability of quantum plasma in the presence of fine dust particles has been investigated. Following the linearized stability theory and normal mode analysis, the paper established a general dispersion relation of the problem. Modified condition of Jeans gravitational instability is obtained due to quantum effect. Numerical calculations were performed to find the effect of each parameter on the growth rate of instability. The effect of fine dust particles does not affect the instability condition of the system but stabilizes the system by decreasing the growth rate of unstable mode. Curves show the destabilizing effect of thermal conductivity and stabilizing effect of quantum correction on the growth rate of unstable mode. The stability of the system is discussed by Routh-Hurwitz criterion of stability.