Abstract
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.
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References
R. B. Stinchcombe inPhase Transition and Critical Phenomena, Vol. 7, C. Domb and J. L. Lebowitz eds. (Academic Press, New York, 1983), p. 152.
A. B. Harris,J. Phys. C7:1671 (1974).
D. P. Landau,Phys. Rev. B22:2450 (1980).
J. Marro, A. Labarta, and J. Tejada, preprint (1985).
D. Chowdhury and D. Stauffer,J. Phys. A19:L19 (1986).
R. Rammal,J. Phys. (Paris) 46:1837 (1985).
C. K. Harris and R. B. Stinchcombe,Phys. Rev. Lett. 56:869 (1986).
R. Rammal and A. Benoit,J. Phys. Lett. (Paris) 46:L667.
C. L. Henley,Phys. Rev. Lett. 54:2030.
S. Jain,J. Phys. A19:L57 (1986).
G. Aeppli, M. M. Guggenheim, and Y. J. Uemura,Phys. Rev. Lett. 52:942 (1984).
T. K. Bergstresser,J. Phys. C10:3831 (1977).
Z. Racz,Phys. Rev. B13, 263 (1976).
K. Binder and D. Stauffer inApplications of the Monte Carlo Methods in Statistical Physics (Springer-Verlag, Heidelberg, 1984) Chap. 1.
C. Kalle,J. Phys. A17:L801 (1984).
R. Zorn, H. J. Herrmann, and C. Rebbi,Comp. Phys. Commun. 23:337 (1981).
C. Kalle and V. Winkelmann,J. Slat. Phys. 28:639 (1985).
D. Stauffer, C. Hartzstein, K. Binder, and A. AharonyZ. Phys. B55:325 (1984).
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The first successful epsilon expansion seems to be by D. E. Khmelnitskii,ZhETF 68:1960 (1975), English translationSov. Phys. JETP 41:981 (1975); for numerical estimates see K. E. Newman and E. K. Riedel,Phys. Rev. H25:264 (1982), for experiments see R. J. Birgenau, R. A. Cowley, G. Shirane and H. Yoshizawa,J. Stat. Phys. 34:817 (1984).
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Chowdhury, D., Stauffer, D. Monte Carlo simulation of three-dimensional dilute Ising model. J Stat Phys 44, 203–210 (1986). https://doi.org/10.1007/BF01010912
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DOI: https://doi.org/10.1007/BF01010912