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本文研究在一个镶嵌正方形格子上的一个稀释双键Potts模型,模型中既包含铁磁作用,也包含反铁磁作用。得到了非常一般的和某些特殊情况下的临界行为的严格解及相图。特别是,我们的结果中展示出在二维情况下,当q≤3时,稀释反铁磁Potts模型也如同正规(非稀释)模型一样,存在着特殊的低温相。The critical behavior of a dilute double bond Potts model on the decorated square lattice is investigated. The exact equations of critical surface and phase diagrams are obtained in some special cases. In particular, our results exhibited a distinctive low-temperature phase at q≤3 on two-dimension lattice for the dilute antiferromagnet Potts model, as expected.
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