Restoration of isotropy on fractals

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

doi:10.1103/PhysRevLett.75.3042

Restoration of isotropy on fractals

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

Faculty of Economics

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

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 diffusion, random walks, resistor networks, and Gaussian field theories. The mechanism is unique in that it is absent in uniform media, while universal in that it is observed in a wide class of fractals.

Original language	English
Pages (from-to)	3042-3045
Number of pages	4
Journal	Physical review letters
Volume	75
Issue number	17
DOIs	https://doi.org/10.1103/PhysRevLett.75.3042
Publication status	Published - 1995

ASJC Scopus subject areas

Physics and Astronomy(all)

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title = "Restoration of isotropy on fractals",

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 diffusion, random walks, resistor networks, and Gaussian field theories. The mechanism is unique in that it is absent in uniform media, while universal in that it is observed in a wide class of fractals.",

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AB - 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 diffusion, random walks, resistor networks, and Gaussian field theories. The mechanism is unique in that it is absent in uniform media, while universal in that it is observed in a wide class of fractals.

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