arXiv 0903.04422009-03cond-mat.dis-nncond-mat.stat-mech

Niedermayer算法在Edwards-Anderson模型中的分析应用：Nishimori线上多临界点的分析结果

An analytical application of Niedermayer's algorithm to the Edwards-Anderson model: analytical results for the multicritical point on the Nishimori line

Chiaki Yamaguchi

备注：: 5 pages, 1 figures. This paper has been withdrawn by the author due to emphasis of the other articles of the author

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摘要：

我们应用分析Niedermayer的算法的Edwards-Anderson模型的随机图与任意度分布。给出了Nishimori线上多临界点的计算结果。结果表明，应用的自旋模型的标准上的随机图的任意度分布。Niedermayer算法的应用使得Fortuin-Kasteleyn簇的大小变小，并移动了渗流阈值。分别示出了$\pm J$模型和高斯模型的结果。本文分别对$\pm J$模型和高斯模型表明，通过调整Niedermayer算法中引入的一个参数，本文得到的逾渗阈值与多临界点的位置一致。我们简单地估计了任意度分布的随机图上的$\pm J$模型和高斯模型的多临界点的位置。

英文摘要：

We apply analytically Niedermayer's algorithm to the Edwards-Anderson model on random graphs with arbitary degree distributions. The results for the multicritical point on the Nishimori line are shown. The results are shown by applying a criterion for spin models on the random graphs with arbitary degree distributions. The application of Niedermayer's algorithm makes the size of the Fortuin-Kasteleyn cluster small and shifts the percolation threshold. The results for the $\pm J$ model and the Gaussian model are respectively shown. In the present article, it is respectively shown for the $\pm J$ model and the Gaussian model that, by adjusting an introduced parameter for Niedermayer's algorithm, the percolation threshold obtained in the present article agrees with the location of the multicritical point. We naively estimate the locations of the multicritical points for the $\pm J$ model and the Gaussian model on the randam graphs with arbitary degree distributions.

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