Abstract
A theoretical description for particle coagulation due to Brownian motion combined with coalescence is presented and experimentally verified. The present theory confirms that the particle-size distribution function possesses a universal state, which is described by the self-similar kinetic equation. A complete analytical solution of this integro-differential equation is found in the case of Brownian coagulation mechanism. An explicit analytical particle-size distribution function, , which approximately satisfies the coagulation equation is derived too. It is shown that a universal particle-size distribution is broader, more flat and bell-shaped than the classical Lifshitz and Slyozov distribution function.
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