  Open charm production during the equilibration of a gluon dominated parton
plasma is calculated, with both the time-dependent temperature and parton
densities given by a set of rate equations. Including pre-thermal production,
the total enhancement of open charm production over the initial gluon fusion
depends sensitively on the initial parton density and the effective
temperature. The dependence of the pre-thermal charm production on the
space-momentum correlation in the initial parton phase-space distribution is
also discussed.
