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arXiv · cond-mat/9509043

Restoration of isotropy on fractals

Martin T. Barlow·Kumiko Hattori·Tetsuya Hattori·Hiroshi Watanabe
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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.

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Martin T. Barlow, Kumiko Hattori, Tetsuya Hattori, Hiroshi Watanabe. 1995-09-08. Restoration of isotropy on fractals. https://doi.org/10.1103/physrevlett.75.3042

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