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.
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页码：1920 / &
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