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The cluster variation method and the method of the reducibility of density matrices

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  • Katsura, Shigetoshi
  • Kikuchi, Ryoichi

Abstract

Using the Ising model in the ferromagnetic case in the pair and the tetrahedron approximations as examples, the equivalence between the cluster variation method and the method of the reducibility of density matrices is demonstrated.

Suggested Citation

  • Katsura, Shigetoshi & Kikuchi, Ryoichi, 1984. "The cluster variation method and the method of the reducibility of density matrices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 595-604.
    • Handle: RePEc:eee:phsmap:v:123:y:1984:i:2:p:595-604
    DOI: 10.1016/0378-4371(84)90175-4
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    References listed on IDEAS

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    1. Fuad Baali, 1974. "Agrarian Reform Policies and Development in the Arab World," American Journal of Economics and Sociology, Wiley Blackwell, vol. 33(2), pages 161-173, April.
    2. Katsura, Shigetoshi & Inawashiro, Sakari & Fujiki, Sumiyoshi, 1979. "Spin glasses for the infinitely long ranged bond Ising model and for the short ranged binary bond Ising model without use of the replica method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 193-216.
    3. Katsura, Shigetoshi & Nagahara, Izuru, 1980. "Effect of the frustration to the ground state energy and entropy of the spin-glass in the random bond Ising model on the square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(3), pages 397-416.
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