Effect of radiative cooling on collapsing charged grains

The effect of the radiative cooling of electrons on the gravitational colla pse of cold dust grains with fluctuating electric charge is investigated. W e find that the radiative cooling as well as the charge fluctuations, both, enhance the growth rate of the Jeans instability. However, the Jeans lengt h, which is zero for cold grains and nonradiative plasma, becomes finite in the presence of radiative cooling of electrons and is further enhanced due to charge fluctuations of grains resulting in an increased threshold of th e spatial scale for the Jeans instability.