Crystalline ordering and large fugacity expansion for hard core lattice particles
Ian Jauslin, Joel L. Lebowitz
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.
- tarball: 17jl-0.1.tar.gz
- git repository: 17jl-git (the git repository contains detailed information about the changes in the paper as well as the source code for all previous versions).
- arXiv preprint: arXiv:1705.02032.
- peer reviewed version, published in Journal of Physical Chemistry B, volume 122, number 13, pp 3266-3271 doi:10.1021/acs.jpcb.7b08977.
This work has been presented at the following conferences:
[UMSM20]: Crystalline ordering in hard-core lattice particle systems
Uniqueness methods in Statistical Mechanics, online, Dec 15 2020
[HaHU20]: Crystalline ordering in hard-core lattice particle systems
Harvard University, Cambridge, Massachusetts, USA, Aug 05 2020
[Pr18]: Crystalline ordering and large-fugacity expansion for hard-core lattice particle systems
Princeton University, New Jersey, USA, Feb 06 2018
[IASm17]: High density phases of hard-core lattice particle systems
Member seminar, Institute for Advanced Study, Princeton, New Jersey, USA, Oct 30 2017
[Rut17]: High density phases of hard-core lattice particle systems
Rutgers University, Princeton, New Jersey, USA, Oct 26 2017
[GLaMP17]: Crystalline ordering and large-fugacity expansion for hard-core lattice particle systems
Great Lakes Mathematical Physics Meeting 2017, East Lansing, Michigan, USA, Jun 24 2017