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Entropy and free energy of the spin glass in the random-bond ising model on the square lattice at finite temperatures

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  • Miyamoto, Nahomi
  • Katsura, Shigetoshi

Abstract

The free energy, the energy, and the entropy of the random-Ising mixture with the ferro- and antiferromagnetic bonds, of which the concentrations are 12, are investigated by the cluster variational method in the pair approximation and that in the square approximation. At T = 0, they reproduce the values of these quantities in the previous papers.

Suggested Citation

  • Miyamoto, Nahomi & Katsura, Shigetoshi, 1982. "Entropy and free energy of the spin glass in the random-bond ising model on the square lattice at finite temperatures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(1), pages 1-16.
    • Handle: RePEc:eee:phsmap:v:111:y:1982:i:1:p:1-16
    DOI: 10.1016/0378-4371(82)90080-2
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    References listed on IDEAS

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    1. 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.
    2. Kirkpatrick, Jeane, 1975. "Representation in the American National Conventions: the Case of 1972," British Journal of Political Science, Cambridge University Press, vol. 5(3), pages 265-322, July.
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