Geometric effects on critical behaviours of the Ising model

DOI10.1088/0305-4470/39/18/010zbMath1093.82006arXivcond-mat/0511539OpenAlexW3099481393MaRDI QIDQ5466874

Yasunori Sakaniwa, Hiroyuki Shima

Publication date: 22 May 2006

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0511539

zbMATH Keywords

constant negative curvaturecritical exponents behaviourtwo-dimensional Ising model on curved surface

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (5)

Hyperscaling above the upper critical dimension ⋮ Thermodynamics and structure of simple liquids in the hyperbolic plane ⋮ Critical behavior in spherical and hyperbolic spaces ⋮ Bootstrap percolation and kinetically constrained models on hyperbolic lattices ⋮ The dynamic exponent of the Ising model on negatively curved surfaces

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