  In high energy nuclear collisions, most calculations on the early
equilibration of the parton plasma showed that the system does not come close
to full equilibrium, especially for the fermion components. However, since the
system is constantly evolving, the cooling effect due to expansion will lead to
a decrease of the average parton energies. So the interactions should be
enhanced by a corresponding increase of the running coupling. We show that this
leads to a faster and improved equilibration. This improvement is more
important for the fermions compensating partially for their weaker interactions
and slower equilibration.
