Majority rule at low temperatures on the square and triangular lattices

DOI10.1007/BF02183615zbMath0935.82013arXivcond-mat/9605104OpenAlexW2040460633MaRDI QIDQ1285353

Tom Kennedy

Publication date: 9 May 2000

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9605104

zbMATH Keywords

Gibbsian measuresmajority-rule renormalization-group transformation

Mathematics Subject Classification ID

Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• A unified approach to phase diagrams in field theory and statistical mechanics
• Effect of the block-spin configuration on the location of \(\beta_c\) in two-dimensional Ising models
• Renormalization group at criticality and complete analyticity of constrained models: A numerical study
• Relative energies for non-Gibbsian states
• Some numerical results on the block spin transformation for the 2D Ising model at the critical point.
• Pathological behavior of renormalization-group maps at high fields and above the transition temperature.
• Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
• Regularity properties and pathologies of position-space renormalization-group transformations

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