Square lattice self-avoiding walks and corrections to scaling

被引：72

作者：

Conway, AR ^{[1
]}

Guttmann, AJ ^{[1
]}

机构：

[1] UNIV MELBOURNE,DEPT MATH,PARKVILLE,VIC 3052,AUSTRALIA

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 26期

关键词：

D O I：

10.1103/PhysRevLett.77.5284

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

New data and analysis of a 51-term series for self-avoiding walks on the (anisotropic) square lattice is given. Analysis of the series provides compelling evidence that the generating function for walks cannot be written as an algebraic or D-finite function and that the correction-to-scaling exponent is Delta = 3/2.

引用

页码：5284 / 5287

页数：4

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