We study the properties of fluctuation for the free energies and internal energies of two spinglass systems that differ for having some set of interactions flipped. We show that their difference has avariance that grows like the volumeof the flipped region. Using a new interpolation method,which extends to the entire circle the standard interpolation technique, we show by integration by parts that the bound imply new overlap identities for the equilibrium state. As a side result the case of the non-interacting random field is analyzed and the triviality of its overlap distribution proved.

Interaction-Flip Identities in Spin Glasses / P., Contucci; Giardina', Cristian; Giberti, Claudio. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 135:(2009), pp. 1181-1203.

Interaction-Flip Identities in Spin Glasses

GIARDINA', Cristian;GIBERTI, Claudio
2009

Abstract

We study the properties of fluctuation for the free energies and internal energies of two spinglass systems that differ for having some set of interactions flipped. We show that their difference has avariance that grows like the volumeof the flipped region. Using a new interpolation method,which extends to the entire circle the standard interpolation technique, we show by integration by parts that the bound imply new overlap identities for the equilibrium state. As a side result the case of the non-interacting random field is analyzed and the triviality of its overlap distribution proved.
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Interaction-Flip Identities in Spin Glasses / P., Contucci; Giardina', Cristian; Giberti, Claudio. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 135:(2009), pp. 1181-1203.
P., Contucci; Giardina', Cristian; Giberti, Claudio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/595589
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