MASS MULTIFRACTALS

In this paper the concept of mass multifractality is discussed and demonstrated on deterministic and stochastic aggregation models of fractal growth. It is shown that in these models the scaling of the density distribution of particles can be described in terms of an infinite hierarchy of generalized dimensions. This behaviour can be observed on a length scale which is much larger than the particle size, but is much smaller than the cluster size. Numerical evidence is given that the distribution of mass within diffusion-limited aggregates is a multifractal. © 1990.