The exact solution of the Potts models with external magnetic field on the Cayley tree

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Abstract

The exact solution is found for the problem of phase transition in the Potts model and the Potts model with competing ternary and binary interactions with external magnetic field.

Keywords

Cayley tree , Potts model , Competing interactions , External magnetic field
  • Nasir Ganikhodjaev Centre for Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, 53100 Kuala Lumpur, Malaysia and Department of Mechanics and Mathematics, National University of Uzbekistan, Vuzgorodok 700095, Tashkent , Uzbekistan.
  • Seyit Temir Harran University, Department of Mathematics Sanliurfa, Turkey.
  • Hasan Akin Harran University, Department of Mathematics Sanliurfa, Turkey.
  • Pages: 39 - 48
  • Date Published: 2005-12-01
  • Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal

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Published

2005-12-01

How to Cite

[1]
N. Ganikhodjaev, S. Temir, and H. Akin, “The exact solution of the Potts models with external magnetic field on the Cayley tree”, CUBO, vol. 7, no. 3, pp. 39–48, Dec. 2005.

Issue

Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal

Section

Articles