Restoration of isotropy on fractals

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

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


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 languageEnglish
Pages (from-to)3042-3045
Number of pages4
JournalPhysical review letters
Issue number17
Publication statusPublished - 1995
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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