A calculation is made of the effect on the critical temperature of a ferromagnet whose exchange integrals are taken to be random variables. The Bethe-Peierls-Weiss approximation is used to find the partition function, Z, for an Ising system and then a configuration average is taken to find (InZ), from which the resulting decrease in the critical temperature can be found. Other results are discussed, and comparisons made with the present result.
H. A. Brown, "On The Ising Model For Amorphous Ferromagnets," Journal of Physics C: Solid State Physics, vol. 15, no. 36, pp. 7387 - 7389, article no. 019, IOP Publishing, Dec 1982.
The definitive version is available at https://doi.org/10.1088/0022-3719/15/36/019
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01 Dec 1982