Study of a long range perturbation of a one-dimensional Kac model
Abstract
We consider a one dimensional ferromagnetic Ising spin system with interactions that correspond to a 1/r2 long range perturbation of the usual Kac model. We apply a coarse graining procedure, widely used for higher-dimensional finite range Kac potentials, to describe the basic properties of the system and the relation with the mean field theory.
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