Random Spin Systems: Some Rigorous Results

DOI10.1063/1.1664710zbMath0181.57202OpenAlexW2014489153MaRDI QIDQ5573326

Robert B. Griffiths, Joel L. Lebowitz

Publication date: 1968

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

Full work available at URL: https://doi.org/10.1063/1.1664710

zbMATH Keywords

structure of matter

Mathematics Subject Classification ID

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

Related Items (15)

The Ising model on diluted graphs and strong amenability ⋮ Strict inequality for bond percolation on a dilute lattice with columnar disorder ⋮ One-dimensional random Ising systems with interaction decay \(r^{- (1+\epsilon)}:\) A convergent cluster expansion ⋮ Fluctuations of extensive functions of quenched random couplings ⋮ A Glivenko-Cantelli theorem for almost additive functions on lattices ⋮ Loss of stability in a 1D spin model with a long-range random Hamiltonian ⋮ Phase transition for percolation on a randomly stretched square lattice ⋮ Evolutionary potential games on lattices ⋮ Random infinite-volume Gibbs states for the Curie-Weiss random field Ising model ⋮ Some properties of random Ising models ⋮ Pressure and variational principle for random Ising model ⋮ Rounding effects of quenched randomness on first-order phase transitions ⋮ Infinite differentiability for one-dimensional spin system with long range random interaction ⋮ Kosterlitz-Thouless–type transition in two-dimensional non-Abelian field theory ⋮ Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups

Cites Work

• Existence of a Phase Transition in Two-Dimensional and Three-Dimensional Ising Models
• On Ising's model of ferromagnetism
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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