DENSITY FUNCTION FOR END-TO-END LENGTHS OF SELF-AVOIDING RANDOM WALKS ON A LATTICE

被引：21

作者：

WALL, FT

WHITTINGTON, SG

机构：

[1] Department of Chemistry, University of California, San Diego, San Diego

[2] American Chemica Society, Washington, DC 20036, 1155 Sixteenth St., N. W.

[3] Unilever Research Laboratory, The Frythe, Welwyn, Hertfordshire

来源：

JOURNAL OF PHYSICAL CHEMISTRY | 1969年 / 73卷 / 11期

关键词：

D O I：

10.1021/j100845a066

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：

Accurate coordinate density functions are calculated for the end-to-end separations of short self-avoiding random walks on the tetrahedral and face-centered cubic lattices. The results are extrapolated to describe long walks by assuming an approach to spherical symmetry with increase in number of steps. The form of the density functions so obtained can be represented by an equation used by Domb to describe his exact enumeration data on the cubic lattice. It is suggested that the essential form of the density function is independent of the lattice for long walks.

引用

页码：3953 / +

页数：1

共 15 条

[1]

Broadbent S. R., 1957, MATH PROC CAMBRIDGE, V53, P629, DOI [DOI 10.1017/S0305004100032680, 10.1017/S030500410003 2680]

[2] EXCLUDED-VOLUME EFFECT FOR 2- AND 3-DIMENSIONAL LATTICE MODELS [J].