Improved kinetic renormalisation group approach to diffusion-limited aggregation

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Abstract
An improved kinetic renormalisation group approach to diffusion-limited aggregation is presented. This approach is based on the growth process itself and accounts for the dispersity in the growth probabilities. It yields the multifractal spectrum D(q) with better values at smaller q. On the 2D square lattice the authors find Df=1.694 for the fractal dimensions of the cluster and that of its interface, and D(1)=1.01 for the information dimension. The former agrees with the simulation results (Df approximately=1.70) and the latter compares very well with the exact value D(1)=1.