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A new technique in the effective field theory of general spin S dilute Ising models

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  • Tucker, J.W.
  • Saber, M.
  • Peliti, L.

Abstract

The effective field equations for diluted spin S Ising models are derived using a probability distribution method based on the use of generalized Van der Waerden identities. The approach is employed within the framework of a single-site cluster theory based on the use of exact Ising spin identities. The effective field equations for Ising models having all possible single-ion and nearest-neighbour pair interactions are reported for all spin values from S = 12 to S = 52.

Suggested Citation

  • Tucker, J.W. & Saber, M. & Peliti, L., 1994. "A new technique in the effective field theory of general spin S dilute Ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 497-507.
    • Handle: RePEc:eee:phsmap:v:206:y:1994:i:3:p:497-507
    DOI: 10.1016/0378-4371(94)90320-4
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    Cited by:

    1. Bakkali, A. & Kerouad, M. & Saber, M., 1996. "The spin-32 Blume-Emery-Griffiths model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(3), pages 563-573.
    2. di Liberto, F. & Peruggi, F., 1998. "Mean field critical behaviour for the frustrated percolation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(3), pages 273-287.
    3. Saber, M. & Tucker, J.W., 1995. "Theoretical study of the quenched diluted spin 2 ising ferromagnet in a transverse field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(3), pages 407-418.
    4. Ausloos, M. & Mróz, I. & Pȩkalski, A. & Vandewalle, N., 1998. "Lattice gas model of gradual evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 155-164.
    5. Kerouad, M. & Saber, M. & Tucker, J.W., 1994. "A theoretical study of the diluted spin-52 Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 424-434.
    6. Elkouraychi, A. & Saber, M. & Tucker, J.W., 1995. "On the theory of the transverse Ising model with arbitrary spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 213(4), pages 576-586.

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