Antiferromagnetic Potts models on the square lattice: A high-precision Monte Carlo study

DOI10.1023/A:1004599121565zbMath0962.82038arXivcond-mat/9811345MaRDI QIDQ1964520

Sabino José Ferreira, Alan D. Sokal

Publication date: 20 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9811345

zbMATH Keywords

Monte Carlocluster algorithmphase transitionPotts modelfinite-size scalingsquare latticeantiferromagnetWang-Swendsen-Kotecký algorithmSwendsen Wang algorithmzero-temperature critical point

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Software, source code, etc. for problems pertaining to statistical mechanics (82-04)

Related Items (9)

Kempe Equivalence of Edge-Colorings in Subcubic and Subquartic Graphs ⋮ Transfer matrices and partition-function zeros for antiferromagnetic Potts models. V. Further results for the square-lattice chromatic polynomial ⋮ Zeros of the 3-state Potts model partition function for the square lattice revisited ⋮ Torpid mixing of the Wang-Swendsen-Kotecký algorithm for sampling colorings ⋮ The three-state Potts antiferromagnet on plane quadrangulations ⋮ Entropy-driven phase transition in low-temperature antiferromagnetic Potts models ⋮ Rapid mixing for lattice colourings with fewer colours ⋮ Spanning forests and the \(q\)-state Potts model in the limit \(q \to 0\) ⋮ Ergodicity of the Wang–Swendsen–Kotecký algorithm on several classes of lattices on the torus

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