  We reexamine the scenario of homogeneous nucleation of the quark-gluon plasma
produced in ultra-relativistic heavy ion collisions. A generalization of the
standard nucleation theory to rapidly expanding system is proposed. The
nucleation rate is derived via the new scaling parameter $\lambda_Z$. It is
shown that the size distribution of hadronic clusters plays an important role
in the dynamics of the phase transition. The longitudinally expanding system is
supercooled to about 3-6%, then it is reheated, and the hadronization is
completed within 6-10 fm/c, i.e. 5-10 times faster than it was estimated
earlier, in a strongly nonequilibrium way.
