HIGH-PRECISION MONTE-CARLO TEST OF THE CONFORMAL-INVARIANCE PREDICTIONS FOR 2-DIMENSIONAL MUTUALLY AVOIDING WALKS

被引：10

作者：

LI, B

SOKAL, AD

机构：

[1] Department of Physics, New York University, New York

来源：

JOURNAL OF STATISTICAL PHYSICS | 1990年 / 61卷 / 3-4期

关键词：

MONTE-CARLO; CONFORMAL INVARIANCE; RANDOM WALK; MUTUALLY-AVOIDING WALKS; SELF-AVOIDING WALK; MAXIMUM-LIKELIHOOD ESTIMATION;

D O I：

10.1007/BF01027299

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let zeta-1 be the critical exponent associated with the probability that l independent N-step ordinary random walks, starting at nearby points, are mutually avoiding. Using Monte Carlo methods combined with a maximum-likelihood data analysis, we find that in two dimensions zeta-2 = 0.6240 +/- 0.0005 +/- 0.0011 and zeta-3 = 1.4575 +/- 0.0030 +/- 0.0052, where the first error bar represents systematic error due to corrections to scaling (subjective 95% confidence limits) and the second error bar represents statistical error (classical 95% confidence limits). These results are in good agreement with the conformal-invariance predictions zeta-2 = 5/8 and zeta-3 = 35/24.

引用

页码：723 / 748

页数：26

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