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

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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.

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References

  1. R. Baxter,Exactly Solved Models in Statistical Mechanics, Acad. Press, London (1982).

    MATH  Google Scholar 

  2. Ya. G. Sinai,Theory of Phase Transitions: Rigorous Results [in Russian], Nauka, Moscow (1980); English transl., Pergamon, Oxford (1982).

    Google Scholar 

  3. P. M. Bleher,Commun. Math. Phys.,128, 411–419 (1990).

    Article  ADS  MathSciNet  Google Scholar 

  4. P. M. Blekher and N. N. Ganikhodzhaev,Theor. Probab. Appl.,35, 216–227 (1990).

    Article  MathSciNet  Google Scholar 

  5. N. N. Ganikhodzhaev,Dokl. Akad. Nauk Resp. Uzbekistan, No. 6-7, 4–7 (1992).

    Google Scholar 

  6. N. N. Ganikhodzhaev and U. A. Rozikov,Theor. Math. Phys.,111, 480–486 (1997).

    MathSciNet  Google Scholar 

  7. N. N. Ganikhodzhaev and U. A. Rozikov,Math. Sb.,190, 193–203 (1999).

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Romanovskii Mathematical Institute, Academy of Sciences of Uzbekistan, Tashkent, Republic of Uzbekistan

    F. M. Mukhamedov & U. A. Rozikov

Authors
  1. F. M. Mukhamedov
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  2. U. A. Rozikov
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Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 124, No. 3, pp. 410–418, September, 2000.

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Mukhamedov, F.M., Rozikov, U.A. The disordered phase of the inhomogeneous potts model is extremal on the Cayley tree. Theor Math Phys 124, 1202–1210 (2000). https://doi.org/10.1007/BF02550998

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  • DOI: https://doi.org/10.1007/BF02550998

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