A non-local anisotropic model for phase transitions: asymptotic behaviour of rescaled energies

In this paper we consider a nonlocal anisotropic model for phase separation in two-phase fluids at equilibrium, and show that when the thickness of the interface tends to zero in a suitable way, the classical surface tension model is recovered. Relevant examples are given by continuum limits of ferromagnetic Ising systems in equilibrium statistical mechanics.

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