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 prethermal 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 prethermal charm production on the space-momentum correlation in the initial parton phase-space distribution is also discussed.
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Lévai et al. (1995) studied this question.