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An analytical description of nucleation stage in a supersaturated vapor withinstantly created supersaturation is given with taking into account the vaporconcentration inhomogeneities arising as a result of depletion due tonon-stationary diffusion onto growing droplets. This description suggests thatthe intensity of the nucleation of new droplets is suppressed in sphericaldiffusion regions of a certain size surrounding previously nucleated droplets,and remains at the initial level in the remaining volume of the vapor-gasmedium. The value of volume excluded from nucleation depends on the explicitform of the vapor concentration profile in the space around the growingdroplet, and we use for that the unsteady self-similar solution oftime-dependent diffusion equation with a convective term describing the flow ofthe gas-vapor mixture caused by moving surface of single growing droplet. Themain characteristics of the phase transition at the end of the nucleation stageare found and compared with those in the theory of nucleation with homogeneousvapor consumption (the theory of mean-field vapor supersaturation).

Nucleation stage in supersaturated vapor with inhomogeneities due to nonstationary diffusion onto growing droplets