The kinetic coefficient of crystallization is calculated according to a previously introduced equilibrium method [Phys. Rev. Lett. 79, 5074 (1997)]. The existence of two regimes of interface relaxation and macroscopic growth, such as they were found in previous nonequilibrium simulations, is fully confirmed by the results of the equilibrium method. Special attention is given to the relation between pressure fluctuations and fluctuations of the amount of crystalline material. Furthermore, we investigate the density and order parameter profiles of the interface and make a clear distinction between the instantaneous structure and the time-averaged profile which is usually presented.