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- W3101832012 abstract "We introduce a hierarchical class of approximations of the random Ising spin glass in d dimensions. The attention is focused on finite clusters of spins where the action of the rest of the system is properly taken into account. At the lowest level (cluster of a single spin) our approximation coincides with the SK model while at the highest level it coincides with the true d-dimensional system. The method is variational and it uses the replica approach to spin glasses and the Parisi ansatz for the order parameter. As a result we have rigorous bounds for the quenched free energy which become more and more precise when larger and larger clusters are considered." @default.
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- W3101832012 date "1998-05-08" @default.
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- W3101832012 title "A variational approach to Ising spin glasses in finite dimensions" @default.
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- W3101832012 doi "https://doi.org/10.1088/0305-4470/31/18/005" @default.
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