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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 58, Number 1, Pages 96–108
(Mi tmf4425)
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This article is cited in 2 scientific papers (total in 2 papers)
Hierarchical vector model of a ferromagnet in the method of collective variables. The Lee–Yang theorem
Yu. V. Kozitskii
Abstract:
A hierarchical vector model of a ferromagnet that approximates the corresponding
translationally symmetric model with two-body interaction of arbitrary range is
proposed. For such a model of arbitrary vector dimension it is shown that the zeros
of the partition function are localized on the imaginary axis of magnetic field values.
A sufficient condition is also proved for block-spin distributions whose partition
functions have such a property.
Received: 10.05.1983
Citation:
Yu. V. Kozitskii, “Hierarchical vector model of a ferromagnet in the method of collective variables. The Lee–Yang theorem”, TMF, 58:1 (1984), 96–108; Theoret. and Math. Phys., 58:1 (1984), 63–71
Linking options:
https://www.mathnet.ru/eng/tmf4425 https://www.mathnet.ru/eng/tmf/v58/i1/p96
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Abstract page: | 344 | Full-text PDF : | 92 | References: | 47 | First page: | 1 |
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