DIFFERENT TYPES OF SELF-AVOIDING WALKS ON DETERMINISTIC FRACTALS

被引：1

作者：

SHUSSMAN, Y

AHARONY, A

机构：

[1] School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv

来源：

JOURNAL OF STATISTICAL PHYSICS | 1994年 / 77卷 / 3-4期

关键词：

SELF-AVOIDING WALKS; INDEFINITELY-GROWING SELF-AVOIDING WALKS; FRACTALS; RENORMALIZATION;

D O I：

10.1007/BF02179449

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

''Normal'' and indefinitely-growing (IG) self-avoiding walks (SAWs) are exactly enumerated on several deterministic fractals (the Manderbrot-Given curve with and without dangling bonds, and the 3-simplex). On the nth fractal generation, of linear size L, the average number of steps behaves asymptotically as [N]= AL(Dsaw) + B. In contrast to SAWs on regular lattices, on these factals IGSAWs and ''normal'' SAWs have the same fractal dimension D-saw. However, they have different amplitudes (A) and correction terms (B).

引用

页码：545 / 563

页数：19

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