The spectral dimension dₛ=2dfdw is calcualted for the diffusion-limited aggregation model of colloids and dendritic growth; here df is the fractal dimension of the aggregate, and dw the fractal dimension of a random walk on the cluster substrate. dₛ=1.2-1.4 is found for d=2 and 3, to within the accuracy of the present Monte Carlo calculations. Thus Witten-Sander aggregates may possess the same remarkable "superuniversality" discovered for percolation clusters and argued to possibly hold for all homogeneous fractals.
No takes yet. Share an insight, caveat, or question.
Meakin et al. (1983) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: