Hierarchy of Critical Exponents on Sierpinski fractal resistor networks

Details Hierarchy of Critical Exponents on Sierpinski fractal resistor networks Hierarchy of Critical Exponents on Sierpinski fractal resistor networks

2000-05-21

arxiv.org/abs/cond-mat/0005338v1

Physics

Condensed Matter

Statistical Mechanics

42 pages, 2 figures

Scientific paper

Using the S_3-symmetry of Sierpinski fractal resistor networks we determine
the current distribution as well as the multifractals spectrum of moments of
current distribution by using the real space renormalization group technique
based on ([q/4]+1) independent Schure's invariant polynomials of inwards
flowing currents.

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