For the Ising model, the self-consistent equations are constructed for magnetization by the mean field method and the method of averaging over exchange fields using clusters of various sizes. The renormgroup transformation is constructed on a fixed scale and the Curie temperature and the critical correlation length are calculated in the examined approximations.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 9–14, February, 2013.
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Semkin, S.V., Smagin, V.P. Methods of derivation of self-consistent equations for an Ising magnet. Russ Phys J 56, 118–124 (2013). https://doi.org/10.1007/s11182-013-0008-6
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DOI: https://doi.org/10.1007/s11182-013-0008-6