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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 205, Number 1, Pages 137–145
DOI: https://doi.org/10.4213/tmf9905 (Mi tmf9905) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Self-consistent approximation in the Ising model of pure and dilute magnets using a pair correlation

S. V. Semkin, V. P. Smagin, P. V. Yudin

Vladivostok State University of Economics and Service, Vladivostok, Russia
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DOI: https://doi.org/10.4213/tmf9905
Abstract: We construct a self-consistent approximation for calculating the magnetization and Curie temperature in the Ising model on an arbitrary lattice based on using the magnetization and pair correlation of nearest neighbors. We find the Curie temperatures for simple lattices in this approximation and generalize the approximation to the case of lattices diluted in lattice sites or bonds, for which we find the approximate values of the percolation thresholds.
Keywords: Ising model, dilute magnet, self-consistent approximation.
Received: 11.03.2020
Revised: 17.04.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 205, Issue 1, Pages 1364–1371
DOI: https://doi.org/10.1134/S0040577920100098
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Semkin, V. P. Smagin, P. V. Yudin, “Self-consistent approximation in the Ising model of pure and dilute magnets using a pair correlation”, TMF, 205:1 (2020), 137–145; Theoret. and Math. Phys., 205:1 (2020), 1364–1371
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v205/i1/p137
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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