  The hadronization scheme for parton transport in relativistic heavy ion
collisions is considered in detail. It is pointed out that the traditional
scheme for particles being freezed out one by one leads to serious problem on
unreasonable long lifetime for partons. A super-cooling of the parton system
followed by a collective phase transition is implemented in a simple way. It
turns out that the modified model with a global phase transition is able to
reproduce the experimental longitudinal distributions of final state particles
better than the original one does. The encouraging results indicate that a
relevant parton transport model for relativistic heavy ion collision should
take equilibrium phase transition into proper account.
