Visibility-invisibility phase transition in a fractal cluster
Maksimenko V. V. , Lushnikov A. A.
The fractal dimension D=3/2 is critical. At this value of D, the optical properties of a fractal cluster undergo abrupt changes. At 2>>3/2, the monomers of a cluster scatter light incoherently. At D< 3/2, there is a huge increase in the scattering due to long-range correlations in the arrangement of particles of the fractal cluster.