Renormalization group maps for Ising models in lattice-gas variables

DOI10.1007/S10955-010-0002-0zbMath1197.82041arXiv0905.2601OpenAlexW2015204398MaRDI QIDQ5961856

Tom Kennedy

Publication date: 16 September 2010

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

Full work available at URL: https://arxiv.org/abs/0905.2601

zbMATH Keywords

renormalization groupmajority ruleIsing modellattice gas variables

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)

Related Items (2)

Decimations for two-dimensional Ising and rotator models ⋮ Tensor RG approach to high-temperature fixed point

Cites Work

• Unnamed Item
• Absence of renormalization group pathologies near the critical temperature. Two examples
• Ill-defined block-spin transformations at arbitrarily high temperatures.
• Some rigorous results on majority rule renormalization group transformations near the critical point
• Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
• Renormalization multigrid (RMG): Statistically optimal renormalization group flow and coarse-to-fine Monte Carlo acceleration.

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