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We numerically study the metastable states of the 2d Potts model. Both ofequilibrium and relaxation properties are investigated focusing on the finitesize effect. The former is investigated by finding the free energy extremalpoint by the Wang-Landau sampling and the latter is done by observing theMetropolis dynamics after sudden heating. It is explicitly shown that withincreasing system size the equilibrium spinodal temperature approaches thebistable temperature in a power-law and the size-dependence of the nucleationdynamics agrees with it. In addition, we perform finite size scaling of thefree energy landscape at the bistable point.

Static and dynamical aspects of the metastable states of first order transition systems