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Theoretical and Mathematical Physics

, Volume 124, Issue 3, pp 1202–1210 | Cite as

The disordered phase of the inhomogeneous potts model is extremal on the Cayley tree

  • F. M. Mukhamedov
  • U. A. Rozikov
Article

Abstract

We find the sufficient condition on the parameters of the inhomogeneous Potts model on the Cayley tree under which the disordered phase becomes extremal.

Keywords

Uzbekistan Gibbs Measure Cayley Tree Typical Boundary Condition Port Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    R. Baxter,Exactly Solved Models in Statistical Mechanics, Acad. Press, London (1982).zbMATHGoogle Scholar
  2. 2.
    Ya. G. Sinai,Theory of Phase Transitions: Rigorous Results [in Russian], Nauka, Moscow (1980); English transl., Pergamon, Oxford (1982).Google Scholar
  3. 3.
    P. M. Bleher,Commun. Math. Phys.,128, 411–419 (1990).CrossRefADSMathSciNetGoogle Scholar
  4. 4.
    P. M. Blekher and N. N. Ganikhodzhaev,Theor. Probab. Appl.,35, 216–227 (1990).CrossRefMathSciNetGoogle Scholar
  5. 5.
    N. N. Ganikhodzhaev,Dokl. Akad. Nauk Resp. Uzbekistan, No. 6-7, 4–7 (1992).Google Scholar
  6. 6.
    N. N. Ganikhodzhaev and U. A. Rozikov,Theor. Math. Phys.,111, 480–486 (1997).MathSciNetGoogle Scholar
  7. 7.
    N. N. Ganikhodzhaev and U. A. Rozikov,Math. Sb.,190, 193–203 (1999).CrossRefMathSciNetGoogle Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • F. M. Mukhamedov
    • 1
  • U. A. Rozikov
    • 1
  1. 1.Romanovskii Mathematical InstituteAcademy of Sciences of UzbekistanTashkentRepublic of Uzbekistan

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