Correlation inequalities and the decay of correlations in ferromagnets
Correlation inequalities and the decay of correlations in ferromagnets
复制标题
DOI：
10.1007/bf01982711
复制
发表时间：
1980-10
影响因子：
2.4
通讯作者：
B. Simon
中科院分区：
文献类型：
--
作者：
B. Simon
我们证明了各种新的关联不等式，它们用长距离关联自下而上地约束了中距离关联。对于自旋为1/2的近邻伊辛铁磁体，典型的情况如下：其中B是晶格的任何子集，其移除将晶格分成碎片，其中α，γ具有不同的成分。我们描述了不同的应用，例如上面的不等式蕴含着临界指数不等式η<；1。
We prove a variety of new correlation inequalities which bound intermediate distance correlations from below by long distance correlations. Typical is the following which holds for spin 1/2 nearest neighbor Ising ferromagnets:whereBis any subset of the lattice whose removal divides the lattice into pieces with α,γ in distinct components. We describe various applications, e.g. the above inequality implies the critical exponent inequality η<1.