Restoration of Macroscopic Isotropy on $(d+1)$-Simplex Fractal Conductor Networks

Details Restoration of Macroscopic Isotropy on $(d+1)$-Simplex Fractal Conductor Networks Restoration of Macroscopic Isotropy on $(d+1)$-Simplex Fractal Conductor Networks

2000-05-13

arxiv.org/abs/cond-mat/0005227v1

Physics

Condensed Matter

Statistical Mechanics

27 Pages, 3 Figures

Scientific paper

10.1016/S0378-4371(00)00286-7

Restoration of macroscopic isotropy has been investigated in (d+1)-simplex fractal conductor networks via exact real space renormalization group transformations. Using some theorems of fixed point theory, it has been shown very rigoroursly that the macroscopic conductivity becomes isotropic for large scales and anisotropy vanishes with a scaling exponent which is computed exactly for arbitrary values of d and decimation numbers b=2,3,4 and 5.

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