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Coherent-anomaly method—recent development

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  • Suzuki, Masuo
  • Minami, Kazuhiko
  • Nonomura, Yoshihiko

Abstract

The coherent-anomaly method (CAM), a general scheme for studying critical phenomena, is reviewed with emphasis on the recent developments, particularly on some applications to (i) extended Ising models with continuously-varying critical exponents and (ii) quantum spin systems at the ground state.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:205:y:1994:i:1:p:80-100
    DOI: 10.1016/0378-4371(94)90492-8
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    References listed on IDEAS

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    1. Karin Peschel, 1975. "Integration And The Spatial Distribution Of Economic Activity," Papers in Regional Science, Wiley Blackwell, vol. 34(1), pages 27-42, January.
    2. Suzuki, Mitsunao, 1969. "金融政策の有効性 : W. L. スミスの批判的検討 = On the Effectiveness of Monetary Policy," 商学討究 (Shogaku Tokyu), Otaru University of Commerce, vol. 20(1), pages 29-46.
    3. Tsuchida, Pamela & Wilshusen, Linda, 1991. "Commute Behavior in Santa Cruz County," University of California Transportation Center, Working Papers qt7tb7h8m3, University of California Transportation Center.
    4. Minami, Kazuhiko & Nonomura, Yoshihiko & Katori, Makoto & Suzuki, Masuo, 1991. "Multi-effective-field theory: Applications to the CAM analysis of the two-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 174(2), pages 479-503.
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    Citations

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    Cited by:

    1. Kolesik, Miroslav & Suzuki, Masuo, 1995. "Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(4), pages 469-477.
    2. Kutlu, B., 1997. "Critical exponents of the two-dimensional Ising model with next-nearest-neighbor and four-spin interactions on the Creutz cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(1), pages 199-212.
    3. Wang, Fugao & Suzuki, Masuo, 1996. "The phase diagram of the 2D Ising model with anisotropic next-nearest-neighbor and four-spin interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 639-650.
    4. 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.

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