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

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. T...

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Bibliographic Details
Published in:Physics of the solid state 2020-08, Vol.62 (8), p.1355-1360
Main Authors: Semkin, S. V., Smagin, V. P., Lyul’ko, V. I.
Format: Article
Language:English
Subjects:
Approximation
Construction methods
Dilution
Exact solutions
Ising model
Magnetism
Physics
Physics and Astronomy
Solid State Physics
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Summary: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.
ISSN:1063-7834
1090-6460
DOI:10.1134/S1063783420080296