Abstract
The probability distributions for the overlaps between and the self-correlations of the pure states of the Stanleyn-vector model with infinite-range interactions are derived. These probability distributions represent two new order parameters for the model and are intimately related to the parameters which arise naturally within the replica formalism for the treatment of the corresponding quenched random-bond model. In contrast to then = 1 Ising case, the probability distributions are nontrivial whenn > 1 and an additional parameter for self-correlation has to be introduced.
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Taucher, T., Frankel, N.E. Probability distributions for the overlaps and self-correlations of the pure states of ann-vector model. J Stat Phys 71, 361–378 (1993). https://doi.org/10.1007/BF01058427
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DOI: https://doi.org/10.1007/BF01058427