Multiparticle fractal aggregation |
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Authors: | Richard F Voss |
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Institution: | (1) IBM Thomas J. Watson Research Center, 10598 Yorktown Heights, New York |
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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 length(f). At larger lengthsD2.(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
(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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Keywords: | Aggregation fractal dendritic growth diffusion |
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