Structural properties of the disordered spherical and other mean field spin models

DOI10.1007/s10955-006-9167-yzbMath1153.82024arXivcond-mat/0607616OpenAlexW3099793867MaRDI QIDQ885036

Luca de Sanctis

Publication date: 7 June 2007

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0607616

zbMATH Keywords

spin glassesoptimization problemsdiluted spin glassesoverlap structuresspherical models

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items

Thermodynamics and universality for mean field quantum spin glasses, Mean field dilute ferromagnet: High temperature and zero temperature behavior, The mean field Ising model trough interpolating techniques, Fluctuations in the Ising model on a sparse random graph

Cites Work

• Free energy of the spherical mean field model
• The generalized Parisi formula
• Bounds for diluted mean-fields spin glass models
• The thermodynamic limit in mean field spin glass models
• Replica bounds for optimization problems and diluted spin systems
• Ultrametric broken replica symmetry raMOSt
• Random multi-overlap structures and cavity fields in diluted spin glasses
• THE EXTENDED VARIATIONAL PRINCIPLE FOR MEAN-FIELD, CLASSICAL SPIN SYSTEMS
• Random multi-overlap structures for optimization problems
• Probability with Martingales
• The Spherical Model of a Ferromagnet