Finite-Size Scaling Study of the Surface and Bulk Critical Behavior in the Random-Bond Eight-State Potts Model
Finite-Size Scaling Study of the Surface and Bulk Critical Behavior in the Random-Bond Eight-State Potts Model
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随机键八态 Potts 模型中表面和体临界行为的有限尺寸研究
DOI：
10.1103/physrevlett.80.1670
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
B. Berche
中科院分区：
文献类型：
--
作者：
Christophe Chatelain;B. Berche
采用Swendsen-Wang团簇翻转算法对自对偶无规键八态Potts模型进行了大规模Monte Carlo模拟。我们计算体和表面的顺序参数，并推导出相应的临界指数在随机固定点，使用标准的有限尺寸标度技术。适当地满足标度律。我们发现，属于2D伊辛模型普适类的模型，可以最终排除，和相关的体积和表面标度场的尺寸被发现采取的值$y_h=1.849$，$y_t=0.977$，$y_{h_s}=0.54$，比较它们的伊辛值：15/8，1，和1/2。
The self-dual random-bond eight-state Potts model is studied numerically through large-scale Monte Carlo simulations using the Swendsen-Wang cluster flipping algorithm. We compute bulk and surface order parameters and susceptibilities and deduce the corresponding critical exponents at the random fixed point using standard finite-size scaling techniques. The scaling laws are suitably satisfied. We find that a belonging of the model to the 2D Ising model universality class can be conclusively ruled out, and the dimensions of the relevant bulk and surface scaling fields are found to take the values $y_h=1.849$, $y_t=0.977$, $y_{h_s}=0.54$, to be compared to their Ising values: 15/8, 1, and 1/2.