Lack of monotonicity in ferromagnetic Ising model phase diagrams

DOI10.1214/aoap/1027961042zbMath0948.60090OpenAlexW2026311717MaRDI QIDQ1296627

Roberto H. Schonmann, Nelson I. Tanaka

Publication date: 19 November 2000

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1027961042

zbMATH Keywords

phase diagramsferromagnetic Ising modelIsing models on graphs

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) 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

The Ising model on diluted graphs and strong amenability, Glauber dynamics on trees: Boundary conditions and mixing time, Phase ordering after a deep quench: the stochastic Ising and hard core gas models on a tree

Cites Work

• Gibbs measures and phase transitions
• Remarks on the limiting Gibbs states on a (d+1)-tree
• Coexistence of infinite \((*)\)-clusters. II: Ising percolation in two dimensions