Spin Glass Identities and the Nishimori Line

Pierluigi Contucci; Cristian Giardina; Hidetoshi Nishimori

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arXiv · 0805.0754

Spin Glass Identities and the Nishimori Line

Pierluigi Contucci·Cristian Giardina·Hidetoshi Nishimori

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Abstract

For a general spin glass model with asymmetric couplings we prove a family of identities involving expectations of generalized overlaps and magnetizations in the quenched state. Those identities holds pointwise in the Nishimori line and are reached at the rate of the inverse volume while, in the general case, they can be proved in integral average.

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Pierluigi Contucci, Cristian Giardina, Hidetoshi Nishimori. 2008-05-13. Spin Glass Identities and the Nishimori Line. https://arxiv.org/abs/0805.0754

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