Abstract
Kinetic fractal aggregation in a particle bath where a fractionf of the sites are initially occupied is studied withd=2 computer simulations. Independent particles diffusing to a fixed cluster produce an aggregate with fractal dimensionD≅ 1.7 up to a correlation lengthξ(f). At larger lengthsD→2.ξ(f) → ∞ asf → 0. When the particles remain fixed but the cluster undergoes a rigid random walkD appears constant at larger scales but varies withf. D → 1.95 at largef andD → 1.7 asf → 0. In both cases, the aggregate sizeN(t) grows with timet γ(f) . Aggregation on a surface by independently diffusing particles produces shapes reminiscent of electrochemical dendritic growth. The dependence of growth rate and geometry is studied as a function of particle concentration and sticking probability.
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Voss, R.F. Multiparticle fractal aggregation. J Stat Phys 36, 861–872 (1984). https://doi.org/10.1007/BF01012945
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DOI: https://doi.org/10.1007/BF01012945