  In this paper we investigate the role of inelastic collisions in the kinetic
evolution of a highly overpopulated gluon system starting from Glasma-type
initial condition. Using the Gunion-Bertsch formula we derive the inelastic
collision kernel under the collinear and small angle approximations. With both
numerics and analytic analysis, we show that the inelastic process has two
effects: globally changing (mostly reducing) the total particle number, while
locally at small momentum regime always filling up the infrared modes extremely
quickly. This latter effect is found to significantly speed up the emergence of
a local thermal distribution in the infrared regime with vanishing local
"chemical potential" and thus catalyze the onset of dynamical Bose-Einstein
Condensation to occur faster (as compared with the purely elastic case) in the
overpopulated Glasma.
