  Nucleation in the two-dimensional q-state Potts model has been studied by
means of Monte-Carlo simulations using the heat-bath dynamics. The initial
metastable state has been prepared by magnetic quench of the ordered
low-temperature phase. The magnetic field dependence of the nucleation time has
been measured as the function of the magnetic field for different q and lattice
sizes at T=0.5 Tc. A size-dependent crossover from the coalescence to
nucleation region is observed at all q. The magnetic field dependence of the
nucleation time is roughly described by the classical nucleation theory. Our
data show increase of the anisotropy in the shape of the critical droplets with
increase of q.
