# Representation and Poly-time Approximation for Pressure of $$\mathbb {Z}^2$$Z2 Lattice Models in the Non-uniqueness Region

@article{Adams2016RepresentationAP, title={Representation and Poly-time Approximation for Pressure of \$\$\mathbb \{Z\}^2\$\$Z2 Lattice Models in the Non-uniqueness Region}, author={Stefan Adams and Raimundo Brice{\~n}o and Brian Marcus and Ronnie Pavlov}, journal={Journal of Statistical Physics}, year={2016}, volume={162}, pages={1031-1067} }

We develop a new pressure representation theorem for nearest-neighbour Gibbs interactions and apply this to obtain the existence of efficient algorithms for approximating the pressure in the 2-dimensional ferromagnetic Potts, multi-type Widom–Rowlinson and hard-core models. For Potts model, our results apply to every inverse temperature but the critical. For Widom–Rowlinson and hard-core models, they apply to certain subsets of both the subcritical and supercritical regions. The main novelty of… CONTINUE READING

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