论文信息 - The probability distribution of the partition function of the random energy model

The probability distribution of the partition function of the random energy model

The authors give the expression for both integer and non-integer moments of the partition function Z of the random energy model. In the thermodynamic limit, they find that the probability distribution P(Z) can be decomposed into two parts. For log Z-(log Z) finite, the distribution is independent of N, the size of the system, whereas for log Z-(log Z) positive and of order N, the distribution is Gaussian. These two parts match in the region 1<<log Z-(log Z)<<N where the distribution is exponential.

Bernard Derrida | E. Gardner | B. Derrida | E Gardner

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