Abstract

Abstract A dynamic scaling idea is examined for phase-separating unmixing mixtures. The scaling exponent of the mobility and that correlation function of the chemical potential with an order paramater determine the droplet growth rates. The results with those of existing phenomenological approaches. The scaling properties of the auto-correlation functions are discussed. If the correlation function associated with the chemical potential has a strong dependence on the length scale as shown in the text, then the auto-correlation function exhibits an anomalous scaling, under which the damping coefficient has a (negative) gap. Simplified scaling structure functions, both for critical and off-critical concentration mixtures, are given. They are compared with those of the computer simulation by Lebowitz et al.

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