Restoration of isotropy on fractals

Details Restoration of isotropy on fractals Restoration of isotropy on fractals

1995-09-08

arxiv.org/abs/cond-mat/9509043v1

Physical Review Letters 75 (1995) 3042-3045

Physics

Condensed Matter

11 pages, REVTEX, 3 postscript figures. (Compressed and encoded figures archived by "figure" command). To appear in Physical R

Scientific paper

10.1103/PhysRevLett.75.3042

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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