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This article is cited in 2 scientific papers (total in 2 papers)
Weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree
M. M. Rakhmatullaev Institute of Mathematics, National University of Uzbekistan,
Tashkent, Uzbekistan
Abstract:
We study weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree. We prove that under some conditions on the model parameters, there exist at least two weakly periodic Gibbs measures for the antiferromagnetic Ising model with an external field.
Keywords:
Cayley tree, Gibbs measure, Ising model with external field, weakly periodic measure.
Received: 17.09.2014
Citation:
M. M. Rakhmatullaev, “Weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree”, TMF, 183:3 (2015), 434–440; Theoret. and Math. Phys., 183:3 (2015), 822–828
Linking options:
https://www.mathnet.ru/eng/tmf8796https://doi.org/10.4213/tmf8796 https://www.mathnet.ru/eng/tmf/v183/i3/p434
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Abstract page: | 264 | Full-text PDF : | 125 | References: | 34 | First page: | 8 |
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