Correlation Inequalities for Spin Glass in one Dimension - Mathematical PhysicsReport as inadecuate




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Abstract: We prove two inequalities for the direct and truncated correlation for thenearest-neighboor one-dimensional Edwards-Anderson model with symmetricquenched disorder. The second inequality has the opposite sign of the GKSinequality of type II. In the non symmetric case with positive average we showthat while the direct correlation keeps its sign the truncated one changes signwhen crossing a suitable line in the parameter space. That line separates theregions satisfying the GKS second inequality and the one proved here.



Author: Pierluigi Contucci, Francesco Unguendoli

Source: https://arxiv.org/







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