Short-Range Spin Glasses: The Metastate Approach

2004/11/16 by C. M. Newman, Newman, C. M., D. L. Stein +1
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0411426

11 pages

arxiv created 2004/11/16 · arxiv updated 2009/12/01

Abstract

We discuss the metastate, a probability measure on thermodynamic states, and its usefulness in addressing difficult questions pertaining to the statistical mechanics of systems with quenched disorder, in particular short-range spin glasses. The possible low-temperature structures of realistic (i.e., short-range) spin glass models are described, and a number of fundamental open questions are presented.

Related

• Metastates and Replica Symmetry Breaking
• Structural analysis of Gibbs states and metastates in short-range classical spin glasses: indecomposable metastates, dynamically-frozen states, and metasymmetry
• Short-Range Spin Glasses: Results and Speculations
• Deepening the knowledge of Spin Glasses: Metastate, Off-equilibrium phenomena and Temperature Chaos
• Mean field theory of spin glasses