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 | |
| Publication status | Published - 1995 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Restoration of isotropy on fractals
AU - Barlow, Martin T.
AU - Hattori, Kumiko
AU - Hattori, Tetsuya
AU - Watanabe, Hiroshi
PY - 1995
Y1 - 1995
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0013695144&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0013695144&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.75.3042
DO - 10.1103/PhysRevLett.75.3042
M3 - Article
AN - SCOPUS:0013695144
VL - 75
SP - 3042
EP - 3045
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 17
ER -