Mean field theory of spin glasses: statics and dynamics

Abstract

In these lectures I will review some theoretical results that have been obtained for spin glasses. I will concentrate my attention on the formulation of the mean field approach and on its numerical and experimental verifications. I will present the various hypothesis at the basis of the theory and I will discuss their mathematical and physical status.

40 pages, 6 figures; proceedings of The 2006 Les Houches Summer School

References in corpus (3)

• Stiffness of the Edwards-Anderson Model in all Dimensions
• On the survey-propagation equations for the random K-satisfiability problem
• Evidence for Frustration Universality Classes in 3D Spin Glass Models

Cited by in corpus (5)

• Statistical mechanics of a single particle in a multiscale random potential: Parisi landscapes in finite dimensional Euclidean spaces
• An empirical analysis of the optimization of deep network loss surfaces
• Spin Glasses on the Hypercube
• Replica-symmetry breaking: discrete and continuous schemes in the Sherrington-Kirkpatrick model
• Disorder in low dimensions: localisation effects in spin glass wires and cold atoms