First-order phase transitions in the hard-core model

Ewan Davies; Juspreet Singh Sandhu; Brian Tan

First-order phase transitions in the hard-core model

Probability 2026-08-01 v1 Mathematical Physics

Authors: Ewan Davies , Juspreet Singh Sandhu , Brian Tan

Abstract

We give a rigorous proof that the hard-core model on a natural family of infinite graphs exhibits a first-order phase transition.

Cite

@article{arxiv.2608.00449,
  title  = {First-order phase transitions in the hard-core model},
  author = {Ewan Davies and Juspreet Singh Sandhu and Brian Tan},
  journal= {arXiv preprint arXiv:2608.00449},
  year   = {2026}
}

Comments

11 pages