  We study the kinetics of the two-dimensional q > 4-state Potts model after a
shallow quench slightly below the critical temperature and above the pseudo
spinodal. We use numerical methods and we focus on intermediate values of q, 4
< q < 100. We show that, initially, the system evolves as if it were quenched
to the critical temperature. The further decay from the metastable state occurs
by nucleation of k out of the q possible phases. For a given quench
temperature, k is a logarithmically increasing function of the system size.
This unusual finite size dependence is a consequence of a scaling symmetry
underlying the nucleation phenomenon for these parameters.
