Bethe-Peierls approximation

Rego LGC, Figueiredo W. Magnetic properties of nanoparticles in the Bethe-Peierls approximation. Physical Review B. 2001 64 144424(1 )-144424(7). DOI 10.1103/Phys-RevB.64.144424. 

These experimental data have also been qualitatively fitted by Asada and Masuda [255] using the kind of statistical-mechanical treatment outlined in Sect. 4.1.6, adapted to take account of more distant lateral interactions than simply nearest neighbours, and using the Bethe—Peierls approximation [318]. 

In fact, a more complicated pattern of interaction is likely to give rise to different types of short-range order. The symmetries of the Bragg-Williams approximation can be readily broken if, instead of the chain molecules, the pairs of chains corresponding to the interaction described in Eq. (2.21) are regarded as statistical units. This leads to the Bethe-Peierls approximation or to the quasi-chemical approximation of Fowler and Guggenheim defect polymer crystal appears then to be a sub-... 

---