Vanishing Loss Effect on the Effective ac Conductivity behavior for 2D   Composite Metal-Dielectric Films At The Percolation Threshold
  We study the imaginary part of the effective $ac$ conductivity as well as its distribution probability for vanishing losses in 2D composites. This investigation showed that the effective medium theory provides only informations about the average conductivity, while its fluctuations which correspond to the field energy in this limit are neglected by this theory. 
Lotfi Zekri, Nouredine Zekri and Jean-Pierre Clerc