Spin Glass Identities and the Nishimori Line

Details Spin Glass Identities and the Nishimori Line Spin Glass Identities and the Nishimori Line

2008-05-06

arxiv.org/abs/0805.0754v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

23 pages

Scientific paper

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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