Physics NotePublished
Coordination Number and Bond Percolation
N.C. Chao
1987
Publication details
- Authors
- N.C. Chao
- Type
- Physics Note
- Status
- Published
- Publication date
- 1987
- Description
- For some d-dimensional lattices, we show that <math>\frac{1}{z}+\frac{1}{z^D}=\frac{1}{d}</math> where z and <math>\operatorname{z^D}</math> are coordination number of a lattice and its dual, respectively. In two dimension, we show that the weighted average of zp<sub>C</sub> for the triangular and hexagonal lattices satisfies a universality hypothesis. In dimensions d <math>\ge</math> 3, the universality hypothesis implies a duality transformation.
- Year
- 1987
- Number
- CBPF-NF-003/87
- Linked to a thesis
- No
- Linked to a grant
- No