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The low-temperature behavior of the infinite-range Ising spin-glass model with a Gaussian distribution of interactions is studied by evaluating the statistical mechanics exactly for small systems (up to $N=20$ spins). Our results can be well understood by a simple picture of elementary cluster excitations from the ground state which overturn, on average, of order N1/2 spins. The conventional definition of the spin-glass order parameter is shown to be unsatisfactory and a new definition is proposed. It is speculated that ensemble averages may give different results from time averages for N→∞ even in the infinite time limit.
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Young et al. (1982) studied this question.
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