Abstract
In this paper the relation between the kinetic set of Becker–Döring (BD) equations and the classical Lifshitz–Slyozov (LS) theory of coarsening is studied. A model that resembles the LS theory but keeps some of the nucleation effects is derived. For this model a solution is described that shows how the kinetic effects explain the particular solution selected in the LS theory. By means of a renormalization procedure, a discrete group of transformations is shown to play an important role in describing the structure of the solution near the critical size of the LS theory.
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Velázquez, J.J.L. The Becker–Döring Equations and the Lifshitz–Slyozov Theory of Coarsening. Journal of Statistical Physics 92, 195–236 (1998). https://doi.org/10.1023/A:1023099720145
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DOI: https://doi.org/10.1023/A:1023099720145