Skip to main content
SpringerLink
Log in

Investigation of the critical properties of the three-dimensional weakly diluted potts model

  • Proceedings of the XX International Jubilee School-Seminar “New Magnetic Materials of Microelectronics”
  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The problem of the type of the phase transition in the three-dimensional weakly diluted Potts model with the number of spin states q= 3 has been investigated by the Monte Carlo method. The temperature dependences of the Binder cumulants, energy, magnetization, specific heat, and susceptibility have been calculated. It is found that the second-order phase transition occurs in a system at the spin concentration p = 0.9. The critical exponents of the magnetization (β), specific heat (α), and susceptibility (γ) and the critical correlation-length exponent v were calculated on the basis of the finite-size scaling theory at p = 0.9.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Fol’k, R., Golovach, Yu., and Yavorskii, T., Usp. Fiz. Nauk, 2003, vol. 173, p. 175.

    Article  Google Scholar 

  2. Murtazaev, A.K., Kamilov, I.K., and Babaev, A.B., Zh. Eksp. Teor. Fiz., 2004, vol. 126, no. 6, p. 1377 [JETP (Engl. Transl.), vol. 99, no. 6, p. 1201].

    Google Scholar 

  3. Harris, A.B., J. Phys. C, 1974, vol. 7, p. 1671.

    Article  ADS  Google Scholar 

  4. Wollf, U., Phys. Rev. Lett., 1989, vol. 62, p. 361.

    Article  ADS  Google Scholar 

  5. Loulidi, M., Physica A, 2000, vol. 287, p. 177.

    Article  ADS  MathSciNet  Google Scholar 

  6. Guttmann, A.J. and Enting, I.G., J. Phys. A, 1994, vol. 27, p. 5801.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  7. Chatelain, C., Berche, B., Janke, W., and Berche, P.-E., Nucl. Phys. B, 2005, vol. 719/3, p. 275.

    Article  ADS  Google Scholar 

  8. Aizenman, M. and Wehr, J., Phys. Rev. Lett., 1989, vol. 62, no. 21, p. 2503.

    Article  ADS  MathSciNet  Google Scholar 

  9. Chatelain, C. and Berche, B., Phys. Rev. Lett., 1998, vol. 80, p. 1670.

    Article  ADS  Google Scholar 

  10. Peczac, P., Ferrenberg, A.M., and Landau, D.P., Phys. Rev. B: Condens. Matter Mater. Phys., 1991, vol. 43, p. 6087.

    ADS  Google Scholar 

  11. Binder, K., Phys. Rev. Lett., 1981, vol. 47, p. 693.

    Article  ADS  Google Scholar 

  12. Fisher, M.E. and Barber, M.N., Phys. Rev. Lett., 1972, vol. 28, p. 1516.

    Article  ADS  Google Scholar 

  13. Ferrenberg, A.M. and Landau, D.P., Phys. Rev. B: Condens. Matter Mater. Phys., 1991, vol. 44, p. 5081.

    ADS  Google Scholar 

  14. Patashinskii, A.Z. and Pokrovskii, V.A., Fluktuatsionnaya teoriya fazovykh perekhodov (Fluctuation Theory of Phase Transitions), Moscow: Nauka, 1982.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, ul. Yaragskogo 94, Makhachkala, 367003, Russia

    A. K. Murtazaev, I. K. Kamilov & A. B. Babaev

  2. Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025, Russia

    A. K. Murtazaev & I. K. Kamilov

Authors
  1. A. K. Murtazaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. K. Kamilov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. B. Babaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. K. Murtazaev.

Additional information

Original Russian Text © A.K. Murtazaev, I.K. Kamilov, A.B. Babaev, 2007, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2007, Vol. 71, No. 11, pp. 1628–1629.

About this article

Cite this article

Murtazaev, A.K., Kamilov, I.K. & Babaev, A.B. Investigation of the critical properties of the three-dimensional weakly diluted potts model. Bull. Russ. Acad. Sci. Phys. 71, 1586–1588 (2007). https://doi.org/10.3103/S1062873807110354

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873807110354

Keywords

Search

Navigation