Crystalline ordering and large fugacity expansion for hard core lattice particles
Ian Jauslin, Joel L. Lebowitz
2017
Abstract
Using an extension of PirogovSinai 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 GauntFisher 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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This work has been presented at the following conferences:

[UMSM20]: Crystalline ordering in hardcore lattice particle systems
Uniqueness methods in Statistical Mechanics, online, Dec 15 2020
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[HaHU20]: Crystalline ordering in hardcore lattice particle systems
Harvard University, Cambridge, Massachusetts, USA, Aug 05 2020
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[Pr18]: Crystalline ordering and largefugacity expansion for hardcore lattice particle systems
Princeton University, New Jersey, USA, Feb 06 2018
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[IASm17]: High density phases of hardcore lattice particle systems
Member seminar, Institute for Advanced Study, Princeton, New Jersey, USA, Oct 30 2017
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[Rut17]: High density phases of hardcore lattice particle systems
Rutgers University, Princeton, New Jersey, USA, Oct 26 2017
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[GLaMP17]: Crystalline ordering and largefugacity expansion for hardcore lattice particle systems
Great Lakes Mathematical Physics Meeting 2017, East Lansing, Michigan, USA, Jun 24 2017
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