Statistics of level spacing of geometric resonances in random binary composites

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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 Σ²(L) have the general features. It is also shown that the short-range fluctuation P(t) and long-range spectral correlation Σ²(L) lie between the profiles of the Poisson ensemble and Gaussion orthogonal ensemble (GOE). At the percolation threshold pc, crossover behavior of functions P(t) and % Σ²(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=0.911L¹.⁹⁷⁰.