Abstract
The effect of rotational diffusion on the growth of Witten–Sander aggregates is examined. Computer simulations of a model are analyzed where the growing aggregate rotates with a rotational diffusion constant Drot(R∥)∼1/[τrot(R∥/a)δ], while the irreversibly aggregating particles jump with a diffusivity a2/τ0(τ0,τrot are the time constants for translational and rotational jumps and a is the lattice spacing). In the simulations 0.0002<(τ0/τrot)<1600 is varied over seven orders of magnitude. In general the aggregates are anisotropic (despite the inherent symmetry of the model) with longitudinal and transverse length scales R∥ and R⊥. On scales r≪R⊥ the cluster remains fractal, but on scales R⊥≪r≪R∥ the cluster becomes linear. Estimates of the dependence of R∥ on N, (τ0/τrot), and δ are made and compared with the computer data. Both initial and asymptotic behavior are investigated, and several regimes of growth identified.
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