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2012 | 121 | 1 | 104-107
Article title

Behaviors of Phase Diagrams of Ising Model with Competing Ternary and Binary Interactions on a Cayley Tree of Arbitrary Order

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Languages of publication
EN
Abstracts
EN
An Ising model with competing interactions has recently been studied extensively because of the appearance of nontrivial magnetic orderings. In this paper, we study the phase diagrams for the Ising model on a Cayley tree with competing nearest-neighbor interactions J and ternary prolonged interactions J_{t_{p}} on a Cayley tree of arbitrary order k and compare with the phase diagrams obtained in Uguz et al. and Vannimenus results for the Ising model on a Cayley tree with competing nearest-neighbor interactions J and ternary prolonged interactions J_{p}. For some values of k, we obtain phase diagrams of the model. We clarify the role of order k of the Cayley tree. We also plot the variation of the wave vector with temperature.
Keywords
EN
Year
Volume
121
Issue
1
Pages
104-107
Physical description
Dates
published
2012-01
References
  • 1. S. Uguz, N.N. Ganikhodjaev, S. Temir, H. Akın, H., AIP Conf. Proc. 1281, 2074 (2010)
  • 2. J. Vannimenus, Z. Phys. B 43, 141 (1981)
  • 3. S. Katsura, M. Takizawa, Prog. Theor. Phys. 51, 82 (1974)
  • 4. S. Uguz, H. Akin, Physica A 389, 1839 (2010)
  • 5. S. Inawashiro, C.J. Thompson, Phys. Lett. 97A, 245 (1983)
  • 6. M. Mariz, C. Tsalis, A.L. Albuquerque, J. Statist. Phys. 40, 577 (1985)
  • 7. S. Uguz, H. Akin, Chinese J. Phys. 49, 785 (2011)
  • 8. N.N. Ganikhodjaev, H. Akin, S. Uguz, S. Temir, Phase Transitions: A Multinational Journal 84, 1045 (2011)
  • 9. K. Fesser, H.J. Herrmann, J. Phys. A 17, 1493 (1984)
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n131kz
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