Phase uniqueness and correlation length in diluted-field Ising models.

DOI10.1007/BF02179873zbMath1081.82574OpenAlexW1999994851MaRDI QIDQ1593302

E. Jordão Neves, Luiz Renato G. Fontes

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02179873

zbMATH Keywords

disordered systemsexponential decay of correlationsphase uniquenessdiluted systemspontaneous magnetization

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Phase transition in ferromagnetic Ising models with non-uniform external magnetic fields ⋮ Phase transitions in ferromagnetic Ising models with spatially dependent magnetic fields

Cites Work

• Some properties of random Ising models
• An ordered phase with slow decay of correlations in continuum \(1/r^ 2\) Ising models
• Rounding effects of quenched randomness on first-order phase transitions
• Taming Griffiths' singularities: Infinite differentiability of quenched correlation functions
• The supercritical phase of percolation is well behaved

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