Crystalline ordering and large fugacity expansion for hard core lattice particles

Ian Jauslin; Joel L. Lebowitz

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arXiv · 1705.02032

Crystalline ordering and large fugacity expansion for hard core lattice particles

Ian Jauslin·Joel L. Lebowitz

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Abstract

Using an extension of Pirogov-Sinai theory we prove phase transitions, corresponding to sublattice orderings, for a general class of hard core lattice particle systems with a finite number of close packed configurations. These include many cases for which such transitions have been proven. The proof also shows that, for these systems, the Gaunt-Fisher expansion of the pressure in powers of the inverse fugacity (aside from an explicit logarithmic term) has a nonzero radius of convergence.

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Ian Jauslin, Joel L. Lebowitz. 2017-05-04. Crystalline ordering and large fugacity expansion for hard core lattice particles. https://arxiv.org/abs/1705.02032

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