Conductivity properties of the Sierpinski triangle
Abstract
The classic Sierpinski triangle comprised of conducting bonds is multifractal. Thus the critical exponents and dimensions related to the conductivity are obtained asymptotically--that is, in the limit that the correlation length {\xi} of the recursive triangle goes to infinity.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2017
- DOI:
- 10.48550/arXiv.1710.06346
- arXiv:
- arXiv:1710.06346
- Bibcode:
- 2017arXiv171006346D
- Keywords:
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- Condensed Matter - Statistical Mechanics