Water nucleation on an aerosol particle under conditions of fluctuatin
g saturation ratio has been simulated in the present study. We have co
nstructed a model which allows one to reduce the description of the pr
oblem to two parameters, namely, standard deviation of the saturation
ratio and correlation time for the saturation ratio near an aerosol pa
rticle. In contrast to the former parameter, the importance of the lat
ter one is not so evident, and we emphasize it here. The saturation ra
tio fluctuations enhance the nucleation probability on insoluble aeros
ol particles, this might be important for atmospheric and technical ap
plications.