Representation and Poly-time Approximation for Pressure of Z2 Lattice Models in the Non-uniqueness Region
Publication Date
1-8-2016
Document Type
Article
Organizational Units
Mathematics
Keywords
Representation theorem, Gibbs interactions, Widom–Rowlinson, Hard-core models
Abstract
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 our work is in the latter.
Publication Statement
Copyright held by author or publisher. User is responsible for all copyright compliance.
Recommended Citation
Adams, Stefan, et al. “Representation and Poly-Time Approximation for Pressure of Z2 Lattice Models in the Non-Uniqueness Region.” Journal of Statistical Physics, vol. 162, no. 4, 2016, p. 1031. doi: 10.1007/s10955-015-1433-4.