Precolation of the minority spins in high-dimensional Ising models

DOI10.1007/BF01009363zbMath0960.82503OpenAlexW2075211408MaRDI QIDQ1907330

Jean Bricmont, Joel L. Lebowitz, Michael Aizenman

Publication date: 21 February 1996

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

Full work available at URL: https://doi.org/10.1007/bf01009363

zbMATH Keywords

Peierls argumentIsing modelcorrelated percolationminority spins

Mathematics Subject Classification ID

Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (9)

Random-cluster representation of the Blume-Capel model ⋮ Surface order large deviations for Ising, Potts and percolation models ⋮ Percolation and ferromagnetism on \(\mathbb Z^ 2\): the \(q\)-state Potts cases ⋮ Lectures on the Spin and Loop O(n) Models ⋮ The percolation signature of the spin glass transition ⋮ Slab percolation and phase transitions for the Ising model ⋮ Dynamical stability of percolation for some interacting particle systems and \(\varepsilon\)-movability ⋮ Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory ⋮ Agreement percolation and phase coexistence in some Gibbs systems.

Cites Work

• Correlation inequalities on some partially ordered sets
• Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model
• On Ising's model of ferromagnetism

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