ENUMERATION OF SELF-AVOIDING TRAILS ON A SQUARE LATTICE USING A TRANSFER-MATRIX TECHNIQUE

被引：17

作者：

CONWAY, AR ^{[1
]}

GUTTMANN, AJ ^{[1
]}

机构：

[1] UNIV OXFORD,DEPT THEORET PHYS,OXFORD OX1 3NP,ENGLAND

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 07期

关键词：

D O I：

10.1088/0305-4470/26/7/013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe a new algebraic technique, utilizing transfer matrices, for enumerating self-avoiding lattice trails on the square lattice. We have enumerated trails to 31 steps, and find increased evidence that trails are in the self-avoiding walk universality class. Assuming that trails behave like Alambda(n)n11/32, we find lambda = 2.720 62 +/- 0.000 006 and A = 1.272 +/- 0.002.

引用

页码：1535 / 1552

页数：18

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