PROBABILITY-DISTRIBUTIONS FOR THE OVERLAPS AND SELF-CORRELATIONS OF THE PURE STATES OF AN N-VECTOR MODEL

The probability distributions for the overlaps between and the self-co rrelations of the pure states of the Stanley n-vector model with infin ite-range interactions are derived. These probability distributions re present two new order parameters for the model and are intimately rela ted to the parameters which arise naturally within the replica formali sm for the treatment of the corresponding quenched random-bond model. In contrast to the n = 1 Ising case, the probability distributions are nontrivial when n > 1 and an additional parameter for self-correlatio n has to be introduced.