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TMF, 2015, Volume 183, Number 3, Pages 434–440 (Mi tmf8796)  

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

DOI: https://doi.org/10.4213/tmf8796

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English version:
Theoretical and Mathematical Physics, 2015, 183:3, 822–828

Bibliographic databases:

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

Citation in format AMSBIB
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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