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This article is cited in 2 scientific papers (total in 2 papers)
Ising model with nonmagnetic dilution on recursive lattices
S. V. Semkin, V. P. Smagin, E. G. Gusev Vladivostok State University of Economics and Service,
Vladivistok, Russia
Abstract:
Using a method for composing self-consistent equations, we construct a class of approximate solutions of the Ising problem that are a generalization of the Bethe approximation. We show that some of the approximations in this class can be interpreted as exact solutions of the Ising model on recursive lattices. For these recursive lattices, we find exact values of the thresholds of percolation through sites and couplings and show that for the Ising model of a diluted magnet, our method leads to exact values for these thresholds.
Keywords:
Ising model, crystal lattice, magnet with nonmagnetic dilution, recursive lattice.
Received: 22.05.2019 Revised: 10.07.2019
Citation:
S. V. Semkin, V. P. Smagin, E. G. Gusev, “Ising model with nonmagnetic dilution on recursive lattices”, TMF, 202:2 (2020), 304–311; Theoret. and Math. Phys., 202:2 (2020), 265–271
Linking options:
https://www.mathnet.ru/eng/tmf9751https://doi.org/10.4213/tmf9751 https://www.mathnet.ru/eng/tmf/v202/i2/p304
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Abstract page: | 231 | Full-text PDF : | 56 | References: | 30 | First page: | 4 |
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