Nucleation and droplet growth as a stochastic process
نویسنده
چکیده
A stochastic differential equation is conjectured for approximately modelling the fluctuating size changes of an individual droplet in a fluid that is metastable with respect to nucleation of a new phase, in the limit when the critical droplet size is very large. The Freidlin-Wentzell formula for this S.D.E. is used to make estimates of large-deviation type for probabilities of such events as the formation of a critical droplet at a specified time. A relation is obtained connecting these estimates to the nucleation rate predicted by the ‘classical’ theory of Becker and Döring.
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