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Construction of Approximate Methods within the Ising Model of a Diluted Magnet Using Averaging over Interaction Fields

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Abstract

The method of averaging over interaction fields has been analyzed as applied to the problems of statistical physics. This method has been theoretically justified as applied to a spin cluster. Based on the general relations obtained, approximate solutions for the bond-diluted Ising model are found. These approximate solutions are compared with the exact solution for a one-dimensional chain of bond-diluted Ising spins.

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Authors and Affiliations

  1. Vladivostok State University of Economics and Service, 690014, Vladivostok, Russia

    S. V. Semkin, V. P. Smagin & V. I. Lyul’ko

Authors
  1. S. V. Semkin
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  2. V. P. Smagin
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  3. V. I. Lyul’ko
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Correspondence to V. I. Lyul’ko.

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The authors declare that they have no conflicts of interest.

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Translated by A. Sin’kov

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Semkin, S.V., Smagin, V.P. & Lyul’ko, V.I. Construction of Approximate Methods within the Ising Model of a Diluted Magnet Using Averaging over Interaction Fields. Phys. Solid State 62, 1355–1360 (2020). https://doi.org/10.1134/S1063783420080296

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  • DOI: https://doi.org/10.1134/S1063783420080296

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