Anomalies in the multifractal analysis of self-similar resistor networks

Details Anomalies in the multifractal analysis of self-similar resistor networks Anomalies in the multifractal analysis of self-similar resistor networks

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrva..36.2352f&link_type=abstract

Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 36, Sept. 1, 1987, p. 2352-2358. Research supported by th

Computer Science

Numerical Analysis

36

Current Distribution, Fractals, Legendre Functions, Network Analysis, Resistors, Electrical Properties, Numerical Analysis

Scientific paper

The Legendre-transform f(alpha) approach to the description of self-similar resistor networks as multifractal systems is investigated analytically. The focus is on physically realistic cases in which f(alpha) is not positive or lacks a finite support (alpha greater than alpha min but less than alpha max). Numerical results are presented in graphs and characterized in detail, and the implications of the resistor-network findings for other phenomena with fractal structures (e.g., turbulence, diffusion-limited aggregation, localization, and dynamical systems) are indicated.

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