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 hold 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
Spin Glass Identities and the Nishimori Line / P., C., Giardina', C., H., N. (PROGRESS IN PROBABILITY). - In: Spin Glasses: Statics and Dynamics / Anne Boutet de Monvel and Anton Bovier. - STAMPA. - VIADUKSTRASSE 40-44, PO BOX 133, CH-4010 BASEL, SWITZERLAND : Birkhäuser, 2009. - ISBN 9783764389994. - pp. 103-121 [10.1007/978-3-7643-9891-0_4]
Spin Glass Identities and the Nishimori Line
GIARDINA', Cristian;
2009
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 hold 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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