In this limit, it can be seen that the probability of the spin glass existing in a particular state, depends only on the energy of that state and not on the individual spin configurations in it. A substantial part of early theoretical work on spin glasses dealt with a form of mean field theory based on a set of replicas of the partition function of the system. Please help improve it to make it understandable to non-experts , without removing the technical details. A detailed account of the history of spin glasses from the early s to the late s can be found in a series of popular articles by Philip W. Virasoro and many others—revealed the complex nature of a glassy low temperature phase characterized by ergodicity breaking, ultrametricity and non-selfaverageness. A rigorous proof of the Parisi solution has been provided in the work of Francesco Guerra and Michel Talagrand. Learn how and when to remove these template messages. These patterns of aligned and misaligned atomic magnets create what are known as frustrated interactions — distortions in the geometry of atomic bonds compared to what would be seen in a regular, fully aligned solid.
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