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Global mean-field phase diagram of the spin-1 Ising ferromagnet in a random crystal field

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  • Borelli, M.E.S.
  • Carneiro, C.E.I.

Abstract

We study the phase diagram of the mean-field spin-1 Ising ferromagnet in a uniform magnetic field H and a random crystal field Δi, with probability distribution P(Δi) = pδ(Δi −Δ) + (1 − p)δ(Δi). We analyse the effects of randomness on the first-order surfaces of the Δ−T−H phase diagram for different values of the concentration p and show how these surfaces are affected by the dilution of the crystal field.

Suggested Citation

  • Borelli, M.E.S. & Carneiro, C.E.I., 1996. "Global mean-field phase diagram of the spin-1 Ising ferromagnet in a random crystal field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(1), pages 249-256.
    • Handle: RePEc:eee:phsmap:v:230:y:1996:i:1:p:249-256
    DOI: 10.1016/0378-4371(96)00064-7
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    References listed on IDEAS

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    1. Carneiro, C.E.I. & Henriques, V.B. & Salinas, S.R., 1989. "On the equivalence of different Landau expansions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(1), pages 88-98.
    2. Pelizzola, Alessandro, 1994. "On three new cluster variation approximations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 211(1), pages 107-123.
    3. Asabere, Paul K & Hachey, George & Grubaugh, Steven, 1989. "Architecture, Historic Zoning, and the Value of Homes," The Journal of Real Estate Finance and Economics, Springer, vol. 2(3), pages 181-195, September.
    4. Dodds, J.H. & Destefano-Beltran, L. & Buitron, F. & Salinas, R. & Siguenas, C. & Tovar, P. & Zambrano, V. & Jaynes, J., 1990. "Potato Transformation For Conferring Disease Resistance," 26th Annual Meeting, July 29 to August 4, 1990, Mayaguez, Puerto Rico 259232, Caribbean Food Crops Society.
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    Cited by:

    1. Bezerra, E.C. & Gomes da Silva, M. & de Sousa, J. Ricardo, 2023. "First-order transition of the spin-1 Blume–Capel model with random anisotropy using effective-field theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

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