Spin systems on hierarchical lattices. II. Some examples of soluble models
Spin systems on hierarchical lattices. II. Some examples of soluble models
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DOI：
10.1103/physrevb.30.244
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发表时间：
1984-07
影响因子：
3.7
通讯作者：
Miron Kaufman;R. Griffiths
中科院分区：
文献类型：
--
作者：
Miron Kaufman;R. Griffiths
给出了几个利用分层晶格上具有最近邻相互作用的经典离散自旋系统的相变现象的可解模型的例子。其中包括连续依赖于一个参数的临界指数、具有两个不同耦合常数的晶格上的Potts模型、表面张力和缺陷线的过剩自由能。在每种情况下，我们都指出了与相应的布拉维-格子模型的异同。
Several examples are given of soluble models of phase-transition phenomena utilizing classical discrete spin systems with nearest-neighbor interaction on hierarchical lattices. These include critical exponents which depend continuously on a parameter, the Potts model on a lattice with two different coupling constants, surface tension, and excess free energy of a line of defects. In each case we point out similarities and differences with a corresponding Bravais-lattice model.