Journal of Statistical Physics

, Volume 44, Issue 1–2, pp 203–210 | Cite as

Monte Carlo simulation of three-dimensional dilute Ising model

  • Debashish Chowdhury
  • Dietrich Stauffer


A multispin coding program for site-diluted Ising models on large simple cubic lattices is described in detail. The spontaneous magnetization is computed as a function of temperature, and the critical temperature as a function of concentration is found to agree well with the data of Marro et al.(4) and Landau(3) for smaller systems.

Key words

Dilute Ising model percolation threshold critical exponents relaxation time 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    R. B. Stinchcombe inPhase Transition and Critical Phenomena, Vol. 7, C. Domb and J. L. Lebowitz eds. (Academic Press, New York, 1983), p. 152.Google Scholar
  2. 2.
    A. B. Harris,J. Phys. C7:1671 (1974).Google Scholar
  3. 3.
    D. P. Landau,Phys. Rev. B22:2450 (1980).Google Scholar
  4. 4.
    J. Marro, A. Labarta, and J. Tejada, preprint (1985).Google Scholar
  5. 5.
    D. Chowdhury and D. Stauffer,J. Phys. A19:L19 (1986).Google Scholar
  6. 6.
    R. Rammal,J. Phys. (Paris) 46:1837 (1985).Google Scholar
  7. 7.
    C. K. Harris and R. B. Stinchcombe,Phys. Rev. Lett. 56:869 (1986).Google Scholar
  8. 8.
    R. Rammal and A. Benoit,J. Phys. Lett. (Paris) 46:L667.Google Scholar
  9. 9.
    C. L. Henley,Phys. Rev. Lett. 54:2030.Google Scholar
  10. 10.
    S. Jain,J. Phys. A19:L57 (1986).Google Scholar
  11. 11.
    G. Aeppli, M. M. Guggenheim, and Y. J. Uemura,Phys. Rev. Lett. 52:942 (1984).Google Scholar
  12. 12.
    T. K. Bergstresser,J. Phys. C10:3831 (1977).Google Scholar
  13. 13.
    Z. Racz,Phys. Rev. B13, 263 (1976).Google Scholar
  14. 14.
    K. Binder and D. Stauffer inApplications of the Monte Carlo Methods in Statistical Physics (Springer-Verlag, Heidelberg, 1984) Chap. 1.Google Scholar
  15. 15.
    C. Kalle,J. Phys. A17:L801 (1984).Google Scholar
  16. 16.
    R. Zorn, H. J. Herrmann, and C. Rebbi,Comp. Phys. Commun. 23:337 (1981).Google Scholar
  17. 17.
    C. Kalle and V. Winkelmann,J. Slat. Phys. 28:639 (1985).Google Scholar
  18. 18.
    D. Stauffer, C. Hartzstein, K. Binder, and A. AharonyZ. Phys. B55:325 (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • Debashish Chowdhury
    • 1
  • Dietrich Stauffer
    • 2
  1. 1.Department of PhysicsTemple UniversityPhiladelphiaUSA
  2. 2.Institute of Theoretical PhysicsCologne UniversityKöln 41West Germany

Personalised recommendations