CORRELATIONS IN A SELF-AVOIDING WALK

被引：24

作者：

DOMB, C

HIOE, FT

机构：

[1] Wheatstone Physics Laboratory, King's College, London

[2] Department of Chemistry, University of California, San Diego, San Diego, CA

来源：

JOURNAL OF CHEMICAL PHYSICS | 1969年 / 51卷 / 05期

关键词：

D O I：

10.1063/1.1672278

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

A fundamental feature of a self-avoiding walk on a crystal lattice is the correlation between any pair of steps. In this paper, exact enumerations for a number of two- and three-dimensional lattices are used to estimate the moments of this correlation. It is suggested that for a walk of n steps in the limit of large n the correlation can be characterized by a single function which is independent of lattice structure in a given dimension. An algebraic expression is put forward to represent this function. Agreement with Monte Carlo estimates is satisfactory.

引用

页码：1920 / &

共 15 条

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