  The transition of sphaleron processes from non-equilibrium to thermal
equilibrium in the early Universe is examined in detail. The relations between
the damping rates and frequencies of the weak and QCD sphaleron degeneracy
parameters are determined in general form and the respective relaxation
temperatures are calculated in specific scenarios. It is pointed out that the
gauge coupling constants running with energy produces strong and weak sphaleron
rates closer to each other at very high temperatures and makes them larger in
supersymmetric models than in the standard model case.
