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Interface for one-dimensional random Kac potentials

Interface for one-dimensional random Kac potentials

We consider a ferromagnetic Ising system with impurities where interaction is given by a Kac potential of positive scaling parameter γ. The random position of the magnetic atoms is described by a quenched variable y. In the Lebowitz Penrose limit, as γ goes to 0, we prove that the quenched …