三维逾渗模型的同时拟合研究
Simultaneous analysis of three-dimensional percolation models
我们模拟了一些三维格子上的键逾渗和点逾渗模型,包括钻石格,体心立方格,和面心立方格。与简单立方格上[Phys. Rev. E, extbf{87} 052107 (2013)]所观察到的现象相似,相比于基于集团尺寸分布的无量纲量,某些wrapping概率展示了更弱的有限尺度修正以及对偏离逾渗阈值$p_c$的敏感性,因而提供了一种确定$p_c$的强有力的手段。我们同时拟合了各个模型的wrapping概率的数值数据,以便于普适参数在拟合中被前述模型所共享,从而显著地提高了对$p_c$的估计精度。
We simulate the bond and site percolation models on several three-dimensional lattices,including the diamond, body-centered cubic, and face-centered cubic lattices.As on the simple-cubic lattice [Phys. Rev. E, extbf{87} 052107 (2013)],it is observed that in comparison with dimensionless ratios based on cluster-size distribution,certain wrapping probabilities exhibit weaker finite-size corrections and are more sensitiveto the deviation from percolation threshold $p_c$, and thus provide a powerful means for determining $p_c$.We analyze the numerical data of the wrapping probabilitiessimultaneously such that universal parameters are shared by the aforementioned models, andthus significantly improved estimates of $p_c$ are obtained.
王俊峰、邓友金、吕建平、徐枭
物理学
逾渗阈值临界指数同时拟合有限尺寸标度
percolation threshold critical exponents simultaneous fits finite-size scaling
王俊峰,邓友金,吕建平,徐枭.三维逾渗模型的同时拟合研究[EB/OL].(2014-01-02)[2025-08-06].http://www.paper.edu.cn/releasepaper/content/201401-65.点此复制
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