抄録
The multifractal analysis of the structure of an aggregation from a lattice gas of finite density ng is performed. By using correlation integrals to avoid the effect of autocorrelation in lattice models, the generalized dimension Dq is determined. In a scaling regime, the structure is found to be a simple fractal characterized by a single dimension D=1.7 which corresponds to the fractal dimension of the diffusion-limited aggregation. The probability of finding s atoms within a distance b from an atom also fits the scaling form Pb(s)=b−Df(s⁄bD) for different values of ng.
