The Parisi overlap functions P(q) and P(q1, q2, q3), and the function Pi (Y), which measures sample to sample fluctuations, are calculated for the one-dimensional Ising spin glass in the temperature range in which the correlation length is of the order of the length of the system. The functions P(q) and Pi (Y) are strikingly similar to those of the SK model but the topology of the space of states is not ultrametric.
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Bray et al. (1985) studied this question.
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