The uniqueness regime of Gibbs fields with unbounded disorder.

DOI10.1007/BF02179259zbMath1081.82519MaRDI QIDQ1593328

Christian Maes, Guy Gielis

Publication date: 16 January 2001

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

zbMATH Keywords

quenched disorderspin glassesdisagreement percolationGriffiths' singularities

Mathematics Subject Classification ID

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

Related Items (4)

A constructive mixing condition for 2-D Gibbs measures with random interactions ⋮ Percolation techniques in disordered spin flip dynamics: Relaxation to the unique invariant measure ⋮ Uniqueness of Gibbs fields with unbounded random interactions on unbounded degree graphs ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Some properties of random Ising models
• Improved perturbation expansion for disordered systems: Beating Griffiths singularities
• Gibbs measures and phase transitions
• Disagreement percolation in the study of Markov fields
• Taming Griffiths' singularities: Infinite differentiability of quenched correlation functions
• Percolation techniques in disordered spin flip dynamics: Relaxation to the unique invariant measure
• Uniqueness of a Gibes Field with Random Potential—An Elementary Approach

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