Random infinite-volume Gibbs states for the Curie-Weiss random field Ising model

DOI10.1007/BF01060064zbMath0925.60127OpenAlexW2029473557MaRDI QIDQ1203143

J. M. G. Amaro de Matos, A. E. Patrick, Valentin A. Zagrebnov

Publication date: 27 October 1993

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

Full work available at URL: https://doi.org/10.1007/bf01060064

zbMATH Keywords

self-averaging

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (16)

On the averaged dynamics of the random field Curie-Weiss model. ⋮ Small perturbations of a spin glass system ⋮ Moderate deviations for random field Curie-Weiss models ⋮ Infinite volume Gibbs states and metastates of the random field mean-field spherical model ⋮ On the mixed even-spin Sherrington-Kirkpatrick model with ferromagnetic interaction ⋮ Spherical model in a random field ⋮ Metastates in mean-field models with random external fields generated by Markov chains ⋮ Path-space moderate deviation principles for the random field Curie-Weiss model ⋮ Spin-flip dynamics of the Curie-Weiss model: loss of Gibbsianness with possibly broken symmetry ⋮ Metastates in finite-type mean-field models: Visibility, invisibility, and random restoration of symmetry ⋮ The thermodynamics of the Curie-Weiss model with random couplings ⋮ Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities ⋮ Metastates in disordered mean-field models: Random field and Hopfield models ⋮ Unnamed Item ⋮ Dynamics in the Sherrington-Kirkpatrick model. I: The first step. ⋮ One-dimensional random-field Ising model: Gibbs states and structure of ground states.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rounding effects of quenched randomness on first-order phase transitions
• Fluctuations in the Curie-Weiss version of the random field Ising model
• Gibbs measures and phase transitions
• Asymptotic of Varadhan-type and the Gibbs variational principle
• Symmetric states of infinite tensor products of \(C^ *\)-algebras
• On the Partition Function of a One-Dimensional Gas
• The thermodynamics of site-random mean-field quantum spin systems
• Equilibrium states for mean field models
• Random Spin Systems: Some Rigorous Results

This page was built for publication: Random infinite-volume Gibbs states for the Curie-Weiss random field Ising model