CRITICAL-BEHAVIOR OF SELF-AVOIDING WALKS ON FRACTALS

被引：11
|
作者：
REIS, FDAA
RIERA, R
机构：
[1] Departamento de Física, Pontificia Universidade Católica do Rio de Janeiro, Rio de Janeiro RJ
来源：
JOURNAL OF STATISTICAL PHYSICS | 1993年 / 71卷 / 3-4期
关键词：
SELF-AVOIDING WALKS; FRACTALS; SERIES EXPANSION;
D O I：
10.1007/BF01058432
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Using a new graph counting technique suitable for self-similar fractals, exact 18th-order series expansions for SAWs on some Sierpinski carpets are generated. From them, the critical fugacity x(c) and critical exponents nu(SAW) and gamma(SAW) are obtained. The results show a linear dependence of the critical fugacity with the average number of bonds per site of the lattices studied. We find for some carpets with low lacunarity that nu(SAW)<0.75, thus violating the relation nu(SAW)(fractal)>nu(SAW)(d) for SAWs on the fractals which are embedded in a d-dimensional Euclidean space.
引用
收藏
页码：453 / 470
页数：18
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