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Discussing the fog formation in adiabatically expanded dust- and ion-free moist air, the relation between the droplet size, the time required for the growth of droplets and the rate of self-nucleation are derived, based on the assumption of a simple model process. These relations, when applied to the case of adiabatic expansion at the so-called cloud limit, give a plausible order of magnitude for these quantities. In particular, the discrepancy between the current theory of self-nucleation and the known critical expansion ratio 1.37 can be eliminated.
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Hiromu Wakeshima (1954) studied this question.
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