Statistics of level spacing of geometric resonances in random binary composites

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 ∑²(L) have general features. It is also shown that the short-range fluctuation P(t) and long-range spectral correlation ∑²(L) lie between the profiles of the Poisson ensemble and Gaussion orthogonal ensemble. At the percolation threshold p_c, crossover behavior of functions P(t) and ∑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=1.032L^-1.952 and n=0.911L^1.970.