Crystalline Ordering and Large Fugacity Expansion for Hard-Core Lattice Particles
- 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
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.
This article is cited by 1 publications.
- 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
, 655-682. https://doi.org/10.1007/s00220-018-3269-7