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Percolation; fractal; multifractal

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

Sanjay Kumar^{1 2} Debaprasad Giri³ Sujata Krishna⁴

1. Department of Physics, Banaras Hindu University, Varanasi - 221 005, India
2. Institute for Theoretical Physics, University of Koln, Zulpicher Street 77, Koln - D-50937, Germany
3. Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur - 721 302, India
4. School of Engineering and Advanced Technology, Staffordshire University, Stafford - ST18 0AD, UK

Published

June 2000

Manuscript received

1 March 1999

Manuscript revised

25 May 2000