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• W2095461888 abstract "We review the structure of the spin glass phase in the infinite-range Sherrington–Kirkpatrick model and the short-range Edwards–Anderson (EA) model. While the former is now believed to be understood, the nature of the latter remains unresolved. However, considerable insight can be gained through the use of the metastate, a mathematical construct that provides a probability measure on the space of all thermodynamic states. Using tools provided by the metastate construct, possibilities for the nature of the organization of pure states in short-range spin glasses can be considerably narrowed. We review the concept of the ordinary metastate, and also newer ideas on the excitation metastate, which has been recently used to prove existence of only a single pair of ground states in the EA Ising model in the half-plane. We close by presenting a new result, using metastate methods, on the number of mixed states allowed in the EA model." @default.
• W2095461888 created "2016-06-24" @default.
• W2095461888 creator A5029447271 @default.
• W2095461888 creator A5067567133 @default.
• W2095461888 date "2010-06-10" @default.
• W2095461888 modified "2023-10-16" @default.
• W2095461888 title "DISTRIBUTION OF PURE STATES IN SHORT-RANGE SPIN GLASSES" @default.
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• W2095461888 doi "https://doi.org/10.1142/s0217979210055779" @default.
• W2095461888 hasPublicationYear "2010" @default.
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