Statistics of level spacing of geometric resonances in random binary composites
| dc.creator | Gu, Y. | |
| dc.creator | Yu, K. W. | |
| dc.creator | Yang, Z. R. | |
| dc.date | 2001-11-05 | |
| dc.date | 2001-11-13 | |
| dc.date.accessioned | 2026-07-25T22:02:55Z | |
| dc.description | 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 $Σ^2(L)$ have the general features. It is also shown that the short-range fluctuation $P(t)$ and long-range spectral correlation $Σ^2(L)$ 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 $% Σ^2(L)$ is obtained, giving the finite size scaling of mean level spacing $δ$ and mean level number $n$, which obey the scaling laws, $% δ=1.032 L ^{-1.952} $ and $n=0.911L^{1.970}$. | |
| dc.description | 11 pages, 7 figures,submitted to Phys. Rev. B | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0111058 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0111058 | |
| dc.identifier | Phys. Rev. E 65, 046129 (2002) | |
| dc.identifier | doi:10.1103/PhysRevE.65.046129 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/85316 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Statistics of level spacing of geometric resonances in random binary composites | |
| dc.type | text |