Classification and universal properties of Sierpinski carpets
- 21 February 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (3) , L163-L170
- https://doi.org/10.1088/0305-4470/20/3/009
Abstract
The type of critical points for the Potts model is found to be dependent on the structure of Sierpinski carpets. All possible types of structure for Sierpinski carpets with two interactions after bond moving are found. The author presents general Sierpinski carpets and new parameters are proposed and used to describe them. The lacunarity expression is revised. The author discusses and proposes a universal classification. Critical points, eigenvalues and flow diagrams are presented. Some fixed points display negative eigenvalues.Keywords
This publication has 4 references indexed in Scilit:
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