Restoration of isotropy on fractals
Condensed Matter
2011-02-28 v1
Abstract
We report a new type of restoration of macroscopic isotropy (homogenization) in fractals with microscopic anisotropy. The phenomenon is observed in various physical setups, including diffusions, random walks, resistor networks, and Gaussian field theories. The mechanism is unique in that it is absent in spaces with translational invariance, while universal in that it is observed in a wide class of fractals.
Keywords
Cite
@article{arxiv.cond-mat/9509043,
title = {Restoration of isotropy on fractals},
author = {Martin T. Barlow and Kumiko Hattori and Tetsuya Hattori and Hiroshi Watanabe},
journal= {arXiv preprint arXiv:cond-mat/9509043},
year = {2011}
}
Comments
11 pages, REVTEX, 3 postscript figures. (Compressed and encoded figures archived by "figure" command). To appear in Physical Review Letters