Restoration of macroscopic isotropy on (d+1)-simplex fractal conductor networks

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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Year of publication:	2000
Authors:	Jafarizadeh, M.A.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 287.2000, 1, p. 1-25
Publisher:	Elsevier
Subject:	Renormalization group \| Fractal \| Isotropy \| Resistor network

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010591822