Abstract
The authors study the effects of Brownian coagulation driven by the thermal motion of droplets on the competitive droplet growth in a quenched binary fluid. To consider such an effect, they extend the classical theory of the Ostwald ripening by using a systematic method that was originally proposed by Lifshitz and Slyozov (1961), for the case of the encounter mechanism. They discuss the effect of Brownian coagulation on the asymptotic form of the droplet size distribution function and the growth law of the average droplet size.