We investigate the connection between two classical models for the study of phase transition phenomena, the Becker--Döring equations, and the Lifshitz--Slyozov system. More precisely, we introduce a scaling parameter and show that the solution to the Becker--Döring equations converges to that of the Lifshitz--Slyozov system as the scaling parameter goes to 0.
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Vasseur et al. (2002) studied this question.
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