THE FREE-ENERGY OF THE ISING SPIN-GLASS ON THE BETHE LATTICE

被引：0
|
作者：
SEINO, M
KATSURA, S
机构：
[1] Department of Information Sciences, Faculty of Science and Engineering, Tokyo Denki University, Hatoyama, Saitama
来源：
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS | 1992年 / 104卷
关键词：
D O I：
10.1016/0304-8853(92)91500-S
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The free energy of the +/- J model at the 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] 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：1661 / 1662
页数：2
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