Fig. 4
(Color online) A comparison between monodisperse and polydisperse systems: a scattering intensity (Eq. (22)); b structure factor (Eq. (24)), averaged over all orientations of the fractal, according to Eq. (25). Here, f = 10 (and thus, a region of constant intensity appears at about 20≲ql 0≲100), m = 6, h = 3 (i.e., the scaling factor is kept constant for three consecutive iterations), and the basic shape is a square of initial edge length l 0 = l in. For both cases, the polydispersity smears out monodisperse scattering curves, and the fractal dimensions can be recovered at each structural level