A THEORY OF COOPERATIVE PHENOMENA
A THEORY OF COOPERATIVE PHENOMENA
复制标题
DOI：
10.1103/physrev.81.988
复制
发表时间：
1951-01-01
期刊：
影响因子：
--
通讯作者：
KIKUCHI, R
中科院分区：
文献类型：
--
作者：
KIKUCHI, R
开发了一种新的有序-无序现象的近似方法。在秒。 A，该方法针对一维伊辛格进行解释。 B 节和 C 节涵盖了已知的近似值，例如 Bethe（B 节）和 Kramers-Wannier（C 节）的近似值，它们被证明是作为具有适当变量选择的方法的特殊情况而导出的。在秒。 D，解释了三维简单立方伊辛晶格的改进处理。就无序态而言，这种近似与柯克伍德矩法将配分函数严格展开到四阶矩是一致的。在秒。 E 给出了熵的一般公式。在秒。 H 给出了面心晶格（伊辛模型）的改进处理。
A new method of approximation for order-disorder phenomena is developed. In Sec. A, the method is explained for the one-dimensional Ising lattice. Sections B and C cover the approximations already known, such as those of Bethe (Sec. B) and of Kramers-Wannier (Sec. C), which are shown to be derived as special cases of the method with suitable choices of variables. In Sec. D, an improved treatment is explained for the three-dimensional simple cubic Ising lattice. This approximation is found to agree with the rigorous expansion of the partition function up to the fourth moment by Kirkwood's moment method, so far as the disordered state is concerned. In Sec. E the general formula for the entropy is given. In Sec. H an improved treatment of the face-centered lattice (Ising model) is given.