The universal coarse-grained properties of three-dimensional Ising systems are investigated with the aid of Wilson's recursion formula (1971). The Helmholtz function is obtained in the critical regions both above and below the critical point; the coarse-grained free energy functional, believed to control spinodal decomposition is also determined. The crossover from non-Gaussian (critical) to Gaussian (central limit) behaviour in the coarse-grained-coordinate distribution is investigated in both high- and low-temperature phases.
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Newlove et al. (1985) studied this question.
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