Abstract

Abstract The decay of supersaturated solutions is considered. A new phase cluster evolution is described as a result of small-scale fluctuations in the number of particles emitted and absorbed by clusters. The cluster growth rate expression plays the role of the Langevin equation where the deterministic part gives an account of a macroscopic growth while the stochastic component determines the diffusion coefficient in the cluster size space for the corresponding Fokker-Planck kinetic equation. These drift and diffusion terms obtained by stochastic theory methods coincide qualitatively with the known results of some heuristic considerations. The numerical difference caused by the more exact description of the probability for a particle to join the cluster gives a higher rate for homogeneous decay of supersaturated solutions.

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