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Accurate estimates of 3D Ising critical exponents using the coherent-anomaly method

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  • Kolesik, Miroslav
  • Suzuki, Masuo

Abstract

An analysis of the critical behavior of the three-dimensional Ising model using the coherent-anomaly method (CAM) is presented. Various sources of errors in CAM estimates of critical exponents are discussed, and an improved scheme for the CAM data analysis is tested. Using a set of mean-field type approximations based on the variational series expansion approach, accuracy comparable to the most precise conventional methods has been achieved. Our results for the critical exponents are given by α = 0.108(5), β = 0.327(4), γ = 1.237(4) and δ = 4.77(5).

Suggested Citation

  • Kolesik, Miroslav & Suzuki, Masuo, 1995. "Accurate estimates of 3D Ising critical exponents using the coherent-anomaly method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(1), pages 138-151.
    • Handle: RePEc:eee:phsmap:v:215:y:1995:i:1:p:138-151
    DOI: 10.1016/0378-4371(94)00302-A
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    1. Conklin, Neilson C. & Gahr, William, 1993. "Reinventing USDA: Missions Must Come First," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 8(2), pages 1-4.
    2. Suzuki, Masuo & Minami, Kazuhiko & Nonomura, Yoshihiko, 1994. "Coherent-anomaly method—recent development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 80-100.
    3. Gaaff, A. & Hijmans, J., 1975. "Symmetry relations in the sixteen-vertex model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 80(2), pages 149-171.
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