Lattice Gas Models with Long Range Interactions

Published 5 Apr 2016 in math-ph and math.MP | (1604.01337v2)

Abstract: We study microcanonical lattice gas models with long range interactions, including power law interactions. We rigorously obtain a variational principle for the entropy. In a one dimensional example, we find a first order phase transition by proving the entropy is non-differentiable along a certain curve.

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