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Free energy and ordering in random quenched Potts model

Author

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  • Bogolubov, N.N.
  • Ermilov, A.N.
  • Kurbatov, A.M.
  • Pronin, P.I.

Abstract

The quenched Potts model with random coupling parameters and random fields is considered. These random quantities may have arbitrary distribution densities. They may be different for different pairs of sites and different sites respectively. On the basis of the Bogolubov variational principle1) the free energy is evaluated and the equations for variational parameters are obtained. The connection of the variational parameters with magnetization and spin glass parameters is found out. A special case of translationally invariant systems is considered.

Suggested Citation

  • Bogolubov, N.N. & Ermilov, A.N. & Kurbatov, A.M. & Pronin, P.I., 1985. "Free energy and ordering in random quenched Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(3), pages 425-441.
    • Handle: RePEc:eee:phsmap:v:133:y:1985:i:3:p:425-441
    DOI: 10.1016/0378-4371(85)90141-4
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    Cited by:

    1. Krasil'nikov, V.V. & Peletminskij, S.V. & Yatsenko, A.A., 1990. "On the theory of a superfluid Fermi liquid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(3), pages 513-541.
    2. Odagaki, T. & Matsui, J. & Hiwatari, Y., 1994. "Trapping diffusion model for glass transition and slow dynamics in supercooled liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 464-481.
    3. Ermilov, A.N. & Kurbatov, A.M. & Kabanovich, V.I. & Racotoaridzauna, S., 1992. "Almeida-Thouless inequality for the quenched Ising models with arbitrary distributions of coupling constants," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(1), pages 190-196.

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