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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >On the Yang-Lee edge singularity for Ising model on nonhomogeneous structures
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On the Yang-Lee edge singularity for Ising model on nonhomogeneous structures

机译:非均匀结构上Ising模型的Yang-Lee边奇异性

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We studied distribution of zeros of the partition function of ferromagnetic Ising model near the Yang-Lee edge on two self-similar structures. We have shown that the nature of associated critical behavior crucially depends on the local lattice structure: If the sites of higher coordination number make an infinite connected cluster then we find an usual power-law behavior, while a logarithmic divergence of the correlation length develops near the edge in the case that these sites make only finite islands. We reveal also a close connection between Yang-Lee edge critical behavior and critical behavior of a simple zero-field Gaussian model on the same structures. (c) 2005 Elsevier B.V. All rights reserved.
机译:我们研究了在两个自相似结构上,在杨李边附近的铁磁伊辛模型分配函数的零分布。我们已经表明,相关的临界行为的性质关键取决于局部晶格结构:如果较高配位数的位点形成一个无限的连通簇,那么我们会发现一种通常的幂律行为,而相关长度的对数散度则逐渐增大。如果这些站点仅构成有限岛,则为边缘。我们还揭示了在相同结构上,杨李边缘临界行为与简单零场高斯模型的临界行为之间的密切联系。 (c)2005 Elsevier B.V.保留所有权利。

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