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The Becker-Döring equations at large times and their connection with the LSW theory of coarsening

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Abstract

A systematic procedure is given for obtaining the asymptotic late-time behavior of the Becker-Döring equations describing the time evolution of a population of clusters of particles. In lowest order of approximation, the distribution of the sizes of the largest clusters satisfies the equations of the Lifshitz-Slyozov-Wagner theory of coarsening.

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Penrose, O. The Becker-Döring equations at large times and their connection with the LSW theory of coarsening. J Stat Phys 89, 305–320 (1997). https://doi.org/10.1007/BF02770767

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