Abstract
In this paper we derive a model for the evolution of the particle radius density for a system of many particles that evolve according to the Mullins–Sekerka problem. The derived model is a correction of the classical LSW theory that takes the effect of the fluctuations of the particle density into account. The main difference between the model derived in this paper and the classical LSW theory is the presence of a second order term which yields a boundary layer effect for large particles. In particular this model provides a possible solution for the so-called “selection problem” in the LSW theory.
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