$f(α)$ Multifractal spectrum at strong and weak disorder

Details $f(α)$ Multifractal spectrum at strong and weak disorder $f(α)$ Multifractal spectrum at strong and weak disorder

2002-09-26

arxiv.org/abs/cond-mat/0209618v2

Phys. Rev. B 68, 024206 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTex4, 6 two-column pages, 4 .eps figures, new results added, updated references, to be published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.68.024206

The system size dependence of the multifractal spectrum $f(\alpha)$ and its singularity strength $\alpha$ is investigated numerically. We focus on one-dimensional (1D) and 2D disordered systems with long-range random hopping amplitudes in both the strong and the weak disorder regime. At the macroscopic limit, it is shown that $f(\alpha)$ is parabolic in the weak disorder regime. In the case of strong disorder, on the other hand, $f(\alpha)$ strongly deviates from parabolicity. Within our numerical uncertainties it has been found that all corrections to the parabolic form vanish at some finite value of the coupling strength.

Affiliated with

Also associated with

No associations

Rating

$f(α)$ Multifractal spectrum at strong and weak disorder does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $f(α)$ Multifractal spectrum at strong and weak disorder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $f(α)$ Multifractal spectrum at strong and weak disorder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-523468