论文信息 - Variational principle for the distribution function of the effective field for the random Ising model in the Bethe approximation

Variational principle for the distribution function of the effective field for the random Ising model in the Bethe approximation

We study the random Ising model in the pair approximation of the cluster variation method. We show that the distribution function of the effective field is determined either by a reducibility condition of the distribution function of two sites to that of one site or by a stationarity condition of the averaged free energy.

Tohru Morita | T. Morita

[1] T. Morita. Cell Theory of Classical Liquids : Phase Transition between Gas, Liquid and Solid : Part III. Yvon's Method and its Generalization , 1959 .

[2] T. Morita. Thermodynamic Limit for a Random Ising Model on the Cayley Tree , 1977 .

[3] T. Morita,et al. Exactly solvable model of a spin glass , 1976 .

[4] T. Morita. The Ising system with an interaction of finite range on the Cayley tree , 1976 .

[5] S. Katsura. Random Mixture of the Ising Magnets in a Magnetic Field: Quenched Site and Bond Problems , 1976 .

[6] F. Matsubara,et al. Theory of Random Magnetic Mixture. III ---Glass-Like Phase--- , 1976 .

[7] S. Katsura. Susceptibility and Specific Heat in the Glass-Like Phase--Cumulant Expansion to the Random Bond Ising Model , 1977 .

[8] S. Kirkpatrick,et al. Solvable Model of a Spin-Glass , 1975 .

[9] Ryoichi Kikuchi,et al. A Theory of Cooperative Phenomena. III. Detailed Discussions of the Cluster Variation Method , 1953 .

[10] R. Kikuchi. A Theory of Cooperative Phenomena , 1951 .

[11] C. Domb,et al. On the theory of cooperative phenomena in crystals , 1960 .