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where <math>J_{nm}>0</math> is the ferromagnetic interaction intensity.
This probability distribution has been derived in the following way: the Hamiltonian of the Ising model is <math>H[\sigma]=\sum\limits_{<i,j>}-J_{i,j}\sigma_i\sigma_j</math>, and the partition function is <math>Z=\sum\limits_{\lbrace\sigma\rbrace}e^{-\beta H[\sigma]}</math>. Consider the interaction between a couple of selected sites
<math>H_{nm}[\sigma]=\sum\limits_{<i,j>\neq<n,m>}-J_{i,j}\sigma_i\sigma_j.</math>
Define also the restricted sums:
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