In disordered Ising models, the surface free-energy density can depend on the shape of the volume and need not converge in one dimension, but it does converge to a deterministic constant in the high-temperature Dobrushin uniqueness regime on cubic boxes.
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Boundary Free Energies in Disordered Ising Models
In disordered Ising models, the surface free-energy density can depend on the shape of the volume and need not converge in one dimension, but it does converge to a deterministic constant in the high-temperature Dobrushin uniqueness regime on cubic boxes.