Statistics of level spacing of geometric resonances in random binary composites

Details Statistics of level spacing of geometric resonances in random binary composites Statistics of level spacing of geometric resonances in random binary composites

2001-11-05

arxiv.org/abs/cond-mat/0111058v3

Phys. Rev. E 65, 046129 (2002)

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 7 figures,submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevE.65.046129

We study the statistics of level spacing of geometric resonances in the disordered binary networks. For a definite concentration $p$ within the interval $[0.2,0.7]$, numerical calculations indicate that the unfolded level spacing distribution $P(t)$ and level number variance $\Sigma^2(L)$ have the general features. It is also shown that the short-range fluctuation $P(t)$ and long-range spectral correlation $\Sigma^2(L)$ lie between the profiles of the Poisson ensemble and Gaussion orthogonal ensemble (GOE). At the percolation threshold $p_c$, crossover behavior of functions $P(t)$ and $% \Sigma^2(L)$ is obtained, giving the finite size scaling of mean level spacing $\delta$ and mean level number $n$, which obey the scaling laws, $% \delta=1.032 L ^{-1.952} $ and $n=0.911L^{1.970}$.

Affiliated with

Also associated with

No associations

Rating

Statistics of level spacing of geometric resonances in random binary composites 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 Statistics of level spacing of geometric resonances in random binary composites, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistics of level spacing of geometric resonances in random binary composites will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591659