Replica symmetry breaking in the `small world' spin glass

author: Bastian Wemmenhove, Radboud University Nijmegen
published: Feb. 25, 2007,   recorded: January 2005,   views: 3881


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We apply the cavity method to an Ising spin glass model on a `small world' lattice, a random bond graph super-imposed upon a 1-dimensional ferromagnetic ring. Using the scheme developed by Mézard & Parisi for the Bethe lattice, we evaluate observables for a model with fixed connectivity and +/- J long range bonds. Furthermore, we determine the stability of the RS solution by making an ansatz on the form of the functional 1RSB order parameters.

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