E Gardner and B Derrida 1989 J. Phys. A: Math. Gen. 22 1975 doi:10.1088/0305-4470/22/12/003
E Gardner and B Derrida
Show affiliationsThe 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.
02.50.Ng Distribution theory and Monte Carlo studies
60Exx Distribution theory (See also 62Exx, 62Hxx)
82C35 Irreversible thermodynamics, including Onsager-Machlup theory
Issue 12 (21 June 1989)
E Gardner and B Derrida 1989 J. Phys. A: Math. Gen. 22 1975
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