Highfugacity expansion, LeeYang zeros and orderdisorder transitions in hardcore lattice systems
Ian Jauslin, Joel L. Lebowitz
2017
Abstract
We establish existence of orderdisorder phase transitions for a class of "nonsliding" hardcore lattice particle systems on a lattice in two or more dimensions. All particles have the same shape and can be made to cover the lattice perfectly in a finite number of ways. We also show that the pressure and correlation functions have a convergent expansion in powers of the inverse of the fugacity. This implies that the LeeYang zeros lie in an annulus with finite positive radii.
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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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