DIFFUSION ON REGULAR RANDOM FRACTALS

We study random walks on structures intermediate to statistical and de terministic fractals called regular random fractals, constructed intro ducing randomness in the distribution of lacunas of Sierpinski carpets . Random walks are simulated on finite stages of these fractals and th e scaling properties of the mean square displacement (R(N)(2))(1/2) of N-step walks are analysed. The anomalous diffusion exponents nu(w) ob tained are very near the estimates for the carpets with the same dimen sion. This result motivates a discussion on the influence of some type s of lattice irregularity (random structure, dead ends, lacunas) on nu (w), based on results on several fractals. We also propose to use thes e and other regular random fractals as models for real self-similar st ructures and to generalize results for statistical systems on fractals .