Scaling relations for two-dimensional Ising percolation
Scaling relations for two-dimensional Ising percolation
复制标题
二维伊辛渗流的标度关系
DOI：
10.1007/s10955-012-0561-3
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
M. Takei and Y. Zhang
中科院分区：
文献类型：
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作者：
Y. Higuchi;M. Takei and Y. Zhang
我们考虑了二维正方形晶格上高温伊辛模型在临界外场或其附近的渗流问题。我们证明了所有的标度关系，除了单一的超标度关系，在单臂路径和四臂路径的幂定律假设下都成立。
We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at or near critical external fields. We show that all scaling relations, except for a single hyperscaling relation, hold under the power law assumptions for the one-arm path and the four-arm paths.