Crystalline Ordering and Large Fugacity Expansion for Hard-Core Lattice ParticlesClick to copy article linkArticle link copied!
- Ian Jauslin*Ian Jauslin*E-mail: [email protected]School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540, United StatesMore by Ian Jauslin
- Joel L. Lebowitz*Joel L. Lebowitz*E-mail: [email protected]Departments of Mathematics and Physics, Rutgers University, Piscataway, New Jersey 08854, United StatesSimons Center for Systems Biology, Institute for Advanced Study, Princeton, New Jersey 08540, United StatesMore by Joel L. Lebowitz
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 perfect coverings. 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.
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This article is cited by 2 publications.
- Qidong He, Ian Jauslin. High-Fugacity Expansion and Crystallization in Non-sliding Hard-Core Lattice Particle Models Without a Tiling Constraint. Journal of Statistical Physics 2024, 191
(10)
https://doi.org/10.1007/s10955-024-03349-x
- Ian Jauslin, Joel L. Lebowitz. High-Fugacity Expansion, Lee–Yang Zeros, and Order–Disorder Transitions in Hard-Core Lattice Systems. Communications in Mathematical Physics 2018, 364
(2)
, 655-682. https://doi.org/10.1007/s00220-018-3269-7
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