THE FREE-ENERGY OF THE RANDOM ISING-MODEL ON THE BETHE LATTICE

被引：7
作者：
SEINO, M
机构：
[1] Department of Information Sciences, Faculty of Science and Engineering, Tokyo Denki University, Hatoyama, Saitama
来源：
PHYSICA A | 1992年 / 181卷 / 3-4期
关键词：
D O I：
10.1016/0378-4371(92)90087-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The free energy of the +/- J model at finite temperatures on the Bethe lattice was obtained to be beta-F = (1 - 1/2z) integral-infinity/-infinity (1/2x) cosech(pi-x/2-beta)[S(x)]z dx + 1/2z integral-infinity/-infinity [cos(J0x)/2x] x cosech(pi-x/2-beta)[S(x)]z-1 dx, where S(x) is the Fourier transform of the distribution function g(h) of the single-bond effective field h. A tentative self-consistent S(x) gives the spin-glass transition temperature and the energy at T = 0 exactly.
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页码：233 / 242
页数：10
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