A study of a coarse-grained free energy functional for the three-dimensional Ising model

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Abstract
The joint distribution function of the nearest-neighbour cell magnetisation of the three-dimensional Ising model has been studied by Monte Carlo methods. This function has a double-peaked structure for Tc and can be represented by a coarse-grained functional of two cell variables. The authors have determined the dependence of this functional on the coarse-graining cell size for several temperatures below Tc. In particular, they have calculated the dependence of the 'spinodal curve' on the (scaled) coarse-graining size.