Restoration of isotropy on fractals

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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)3042-3045
Number of pages4
JournalPhysical Review Letters
Volume75
Issue number17
DOIs
Publication statusPublished - 1995
Externally publishedYes

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isotropy
restoration
fractals
homogenizing
random walk
resistors
anisotropy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Restoration of isotropy on fractals. / Barlow, Martin T.; Hattori, Kumiko; Hattori, Tetsuya; Watanabe, Hiroshi.

In: Physical Review Letters, Vol. 75, No. 17, 1995, p. 3042-3045.

Research output: Contribution to journalArticle

Barlow, MT, Hattori, K, Hattori, T & Watanabe, H 1995, 'Restoration of isotropy on fractals', Physical Review Letters, vol. 75, no. 17, pp. 3042-3045. https://doi.org/10.1103/PhysRevLett.75.3042
Barlow, Martin T. ; Hattori, Kumiko ; Hattori, Tetsuya ; Watanabe, Hiroshi. / Restoration of isotropy on fractals. In: Physical Review Letters. 1995 ; Vol. 75, No. 17. pp. 3042-3045.
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