Monte Carlo Study of the Critical Behavior of Random Bond Potts Models
Monte Carlo Study of the Critical Behavior of Random Bond Potts Models
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随机 Bond Potts 模型临界行为的蒙特卡罗研究
DOI：
10.1103/physrevb.60.3428
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
A. Young
中科院分区：
文献类型：
--
作者：
T. Olson;A. Young
我们提出的随机键Potts模型在二维的Monte Carlo模拟结果，不同数量的Potts状态q。我们引入一个简单的计划，产生连续的自对偶分布的相互作用。正如预期的那样，我们发现在临界点的相关函数的多重分形行为，并获得指数${\ensuremath{\eta}}_{n}$的几个时刻n的相关函数，包括典型的$（\stackrel{\ensuremath{\rightarrow}}{n}0）$，平均$（n=1）$，和其他人。此外，对于q=8，我们发现只有一个关联长度指数$\ensuremath{\nu}$描述远离临界的关联长度。这在数值上非常接近纯伊辛值$\ensuremath{\nu}=1$。
We present results of Monte Carlo simulations of random bond Potts models in two dimensions, for different numbers of Potts states q. We introduce a simple scheme which yields continuous self-dual distributions of the interactions. As expected, we find multifractal behavior of the correlation functions at the critical point and obtain estimates of the exponent ${\ensuremath{\eta}}_{n}$ for several moments n of the correlation functions, including typical $(\stackrel{\ensuremath{\rightarrow}}{n}0)$, average $(n=1)$, and others. In addition, for $q=8$, we find that there is only a single correlation length exponent $\ensuremath{\nu}$ describing the correlation length away from criticality. This is numerically very close to the pure Ising value $\ensuremath{\nu}=1$.