English

Multifractal Behaviour of n-Simplex Lattice

Statistical Mechanics 2009-10-31 v1

Abstract

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, βL\beta_L, associated with resistance scaling, for any n. Using current cumulant method we calculate the exact noise exponent for n-simplex lattices.

Cite

@article{arxiv.cond-mat/0005472,
  title  = {Multifractal Behaviour of n-Simplex Lattice},
  author = {Sanjay Kumar and D. Giri and Sujata Krishna},
  journal= {arXiv preprint arXiv:cond-mat/0005472},
  year   = {2009}
}

Comments

Latex, 9 pages including one figure

R2 v1 2026-07-22T10:03:18.908Z