Critical exponents of the 3-D Ising model

被引:38
作者
Gupta, R [1 ]
Tamayo, P [1 ]
机构
[1] THINKING MACHINES CORP,CAMBRIDGE,MA 02143
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS | 1996年 / 7卷 / 03期
关键词
D O I
10.1142/S0129183196000247
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present a status report on the ongoing analysis of the 3D Ising model with nearest-neighbor interactions using the Monte Carlo Renormalization Group (MCRG) and finite size scaling (FSS) methods on 64(3), 128(3), and 256(3) simple cubic lattices. Our MCRG estimates are K-nn(c) = 0.221655(1)(1) and nu = 0.625(1). The FSS results for K-c are consistent with those from MCRG but the value of nu is not. Our best estimate eta = 0.025(6) covers the spread in the MCRG and FSS values. A surprise of our calculation is the estimate w approximate to 0.7 for the correction-to-scaling exponent. We also present results for the renormalized coupling g(R) along the MCRG flow and argue that the data support the validity of hyperscaling for the 3D Ising model.
引用
收藏
页码:305 / 319
页数:15
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