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Free energy of the random Ising model in terms of the magnetizations of sites

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  • Morita, T.

Abstract

The free energy in the pair approximation of the cluster variation method is given in terms of the magnetizations of sites for the random Ising model. For a number of samples of the random-bond Ising model with nearest-neighbour interactions of +J and -J, on the square lattice, search is made of the configuration which gives the lowest free energy. It is concluded that the spin-glass state is the state which gives the lowest free energy in the pair approximation for certain values of temperature and probabilities of J and -J.

Suggested Citation

  • Morita, T., 1983. "Free energy of the random Ising model in terms of the magnetizations of sites," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(1), pages 143-152.
  • Handle: RePEc:eee:phsmap:v:119:y:1983:i:1:p:143-152
    DOI: 10.1016/0378-4371(83)90151-6
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    1. 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.
    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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    1. Horiguchi, T. & Morita, T., 1984. "Fractal dimension related to devil's staircase for a family of piecewise linear mappings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 289-295.
    2. Horiguchi, T. & Morita, T., 1984. "Devil's staircase in a one-dimensional mapping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 126(3), pages 328-348.

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