Lack of phase transitions in staggered magnetic systems. A comparison of uniqueness criteria

DOI10.1063/5.0020757zbMath1482.82011arXiv1901.08697OpenAlexW3204534396MaRDI QIDQ5163828

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Publication date: 8 November 2021

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

Full work available at URL: https://arxiv.org/abs/1901.08697

zbMATH Keywords

phase transitionsferromagnetic Ising model

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

Cites Work

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• A simple coupling of renewal processes
• On Choosing and Bounding Probability Metrics
• A new lower bound for the critical probability of site percolation on the square lattice
• Combinatorial criteria for uniqueness of Gibbs measures
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