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The distribution function P₋ (s) of the local order parameter s in finite blocks of size L^d is studied for Ising models for dimensionalities d=2, 3, and 4 by Monte Carlo methods. A real-space renormalization group based on phenomenological scaling yields fairly accurate results for rather small L (e. g. , the standard exponents and for d=3 are found as 2=1. 030. 01, 1=1. 600. 05). The method can easily be generalized to arbitrary Hamiltonians, including spin dimensionalities n>1.
Kurt Binder (Mon,) studied this question.