Potts-model formulation of percolation and branched polymers on a fractal lattice.

Potts-model formulation of percolation and branched polymers on a fractal lattice.
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DOI:
10.1103/physrevb.47.144
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发表时间:
1993
期刊:
Physical review. B, Condensed matter
影响因子:
--
通讯作者:
Borjan;Knezevic;Milosevic
Borjan;Knezevic;Milosevic
中科院分区:
其他
文献类型:
--
作者:
Borjan;Knezevic;Milosevic

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我们提出了精确和完整的递归关系的q态Potts模型的分区和相关函数,在磁场中,Sierpi\ifmmode \acute{n}\else\'{n}\fi{}ski-gasket分形晶格。在q=1的限制,我们得到的结果是相关的群集统计与渗流和支化聚合物的问题。
We present exact and complete recursion relations for the partition and correlation functions of the q-state Potts model, in a magnetic field, on a Sierpi\ifmmode \acute{n}\else \'{n}\fi{}ski-gasket fractal lattice. In the q=1 limit, we obtain results that are relevant to the cluster statistics associated with percolation and branched-polymer problems.