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- W1975568103 abstract "We extend to dimensions densuremath{ge}2 our scaling treatment of the perimeter occupancy probabilities for diffusion-limited aggregation (DLA) clusters grown on lattices. We obtain an analytic relation for the Hausdorff dimension D. We find no upper critical dimension for DLA, although Densuremath{rightarrow}d-1 for large d. Our theoretical values for D are fully consistent with Meakin's Cartesian lattice simulations for 2ensuremath{le}densuremath{le}6. We have studied the nonuniversality (lattice dependence) of D by shearing the Cartesian lattices. For maximal shear, D=d-1 (mean field) for densuremath{ge}3." @default.
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- W1975568103 date "1986-01-01" @default.
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- W1975568103 title "Probability scaling for diffusion-limited aggregation in higher dimensions" @default.
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- W1975568103 doi "https://doi.org/10.1103/physreva.33.786" @default.
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