On the mean Euler characteristic and mean Betti’s numbers of the Ising model with arbitrary spin

DOI10.1088/1742-5468/2006/03/P03011zbMath1456.82970arXivcond-mat/0601344OpenAlexW2047510573WikidataQ105584668 ScholiaQ105584668MaRDI QIDQ4968358

Christophe Dobrovolny, Philippe Blanchard, Jean Ruiz, Daniel Gandolfo

Publication date: 12 July 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0601344

zbMATH Keywords

classical Monte Carlo simulationsclassical phase transitions (theory)

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic analysis in statistical mechanics (82M60)

Related Items (1)

Topological approach to microcanonical thermodynamics and phase transition of interacting classical spins

Cites Work

• Critical Binder cumulant in two-dimensional anisotropic Ising models
• Percolation
• Exact moments of curvature measures in the Boolean model
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