The bulk, surface and corner free energies of the anisotropic triangular Ising model

DOI10.1098/rspa.2019.0713zbMath1439.82009arXiv1909.00518OpenAlexW3005580004MaRDI QIDQ5114251

Rodney Baxter

Publication date: 21 June 2020

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.00518

zbMATH Keywords

lattice modelssurface free energycorner free energy

Mathematics Subject Classification ID

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

Related Items (1)

The square lattice Ising model on the rectangle III: Hankel and Toeplitz determinants

Cites Work

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• The bulk, surface and corner free energies of the square lattice Ising model
• The square lattice Ising model on the rectangle I: finite systems
• Corner free energies and boundary effects for Ising, Potts and fully packed loop models on the square and triangular lattices
• The square lattice Ising model on the rectangle II: finite-size scaling limit
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• Order-disorder in hexagonal lattices
• Antiferromagnetism. The Triangular Ising Net
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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