Multifractal Behaviour of n-Simplex Lattice

Details Multifractal Behaviour of n-Simplex Lattice Multifractal Behaviour of n-Simplex Lattice

2000-05-26

arxiv.org/abs/cond-mat/0005472v1

Physics

Condensed Matter

Statistical Mechanics

Latex, 9 pages including one figure

Scientific paper

10.1007/s12043-000-0181-3

We study the asymptotic behaviour of resistance scaling and fluctuation of resistance that give rise to flicker noise in an {\em n}-simplex lattice. We propose a simple method to calculate the resistance scaling and give a closed-form formula to calculate the exponent, $\beta_L$, associated with resistance scaling, for any n. Using current cumulant method we calculate the exact noise exponent for n-simplex lattices.

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