Crystalline ordering and large fugacity expansion for hard core lattice particles
Statistical Mechanics
2017-09-12 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1705.02032,
title = {Crystalline ordering and large fugacity expansion for hard core lattice particles},
author = {Ian Jauslin and Joel L. Lebowitz},
journal= {arXiv preprint arXiv:1705.02032},
year = {2017}
}