Multifractal behaviour of n-simplex lattice
SANJAY KUMAR1*, DEBAPRASAD GIRI2 and SUJATA KRISHNA3
1Department of Physics, Banaras Hindu University, Varanasi 221 005, India
2Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur 721 302, India
3School of Engineering and Advanced Technology, Staffordshire University, Stafford ST18 0AD, UK
*Present Address: Institute for Theoretical Physics, University of Koln, Zulpicher Street 77, D-50937 Koln, Germany
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, bL, associated with resistance scaling, for any n. Using current cumulant method we calculate the exact noise exponent for n-simplex lattices.
Keywords.:Percolation; fractal; multifractal.
Pacs No.:64.60.A; 61.43.H; 11.10.j
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