Crystalline ordering and large fugacity expansion for hard core lattice\n particles

2017/05/04 by Ian Jauslin, Joel L. Lebowitz, Jauslin, Ian +1 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Material Dynamics and Properties #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1705.02032

openalex publication_date 2017/05/04 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

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

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