Self-Averaging Identities for Random Spin Systems

Details Self-Averaging Identities for Random Spin Systems Self-Averaging Identities for Random Spin Systems

2007-05-21

arxiv.org/abs/0705.2978v1

Physics

Mathematical Physics

26 pages

Scientific paper

We provide a systematic treatment of self-averaging identities for various spin systems. The method is quite general, basically not relying on the nature of the model, and as a special case recovers the Ghirlanda-Guerra and Aizenman-Contucci identities, which are therefore proven, together with their extension, to be valid in a vaste class of spin models. We use the dilute spin glass as a guiding example.

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