GROWTH AND FORM OF ZERO-NOISE DIFFUSION-LIMITED-AGGREGATION ON THE CUBIC LATTICE

The growth and form of zero-noise DLA clusters on a cubic lattice is i nvestigated. Numerical simulations reveal a stable cluster consisting of six fourfold symmetric (almost planar) arms with a staircase struct ure along each arm. Empirical expressions are obtained for; the shape of the arms in the vicinity of the tips, the scaling of the arm length s and the scaling of the tip growth rates. The empirical expressions a re used to derive results for the growth rates along the arms of the c luster and for the step lengths in a needle staircase. These results a re in good agreement with the numerical simulations.