UNIVERSAL AMPLITUDE COMBINATIONS FOR SELF-AVOIDING WALKS, POLYGONS AND TRAILS

被引：40

作者：

CARDY, JL

GUTTMANN, AJ

机构：

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

[2] UNIV CALIF SANTA BARBARA,DEPT PHYS,SANTA BARBARA,CA 93106

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

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 11期

关键词：

D O I：

10.1088/0305-4470/26/11/003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give exact relations for a number of amplitude combinations that occur in the study of self-avoiding walks, polygons and lattice trails. In particular, we elucidate the lattice-dependent factors which occur in those combinations which are otherwise universal, show how these are modified for oriented lattices, and give new results for amplitude ratios involving even moments of the area of polygons. We also survey numerical results for a wide range of amplitudes on a number of oriented and regular lattices, and provide some new ones.

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页码：2485 / 2494

页数：10

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