TRANSFER-MATRIX STUDIES OF BRANCHING FRACTALS

被引：5

作者：

ANDRADE, RFS

机构：

[1] Instituto de Física, Universidade Federal da Bahia

来源：

PHYSICA A | 1993年 / 193卷 / 01期

关键词：

D O I：

10.1016/0378-4371(93)90214-O

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce the method of transfer matrices to study physical models defined on branching fractal lattices. In this context we derive matricial recurrence relations, connecting the matrices associated with successive fractal generations. These relations depend only on the geometry of the fractal and may be used for any model. Explicit results are obtained for ferromagnetic and antiferromagnetic Ising models on branching Koch curves and Sierpinski gasket.

引用

页码：29 / 47

页数：19

共 15 条

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