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IPM
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“School of Physic”

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Paper   IPM / Physic / 6804
School of Physics
  Title:   Restoration of Macroscopic Isotropy on (D+1)-Simplex Fractal Conductor Networks
  Author(s):  M.A. Jafarizadeh
  Status:   Published
  Journal: Physica A
  No.:  110
  Vol.:  287
  Year:  2000
  Pages:   1-25
  Supported by:  IPM
  Abstract:
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=2,3,4and5

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