Transient effects in nucleation for two-dimensional systems

Application of critical dynamics allows one to avoid model assumptions in the phenomenological theory of nucleation. The Fokker-Planck equation for the distribution function of nuclei follows from the Langevin equation for the radius of nuclei which, in turn, is an immediate consequence of the equations of critical dynamics. The transient behavior essentially depends on the initial condition (fast vs slow quench). The time lag determining the duration of transient processes following the fast quench is exponentially larger than that for a slow quench. The time dependence of the distribution function and flux of nuclei are significantly different for slow and fast quenches. Numerical estimates and graphic representation of the results are performed.