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A method based on Monte Carlo sampling of probability flows projected onto the subspace of one or more slow variables, is proposed for the investigation of dynamic and static properties of lattice spin systems. We illustrate the method by applying it, with projection onto the order-parameter subspace, to the 3-dimensional 3-state Potts model in equilibrium, and to metastable decay in a 3-dimensional 3-state kinetic Potts model.
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