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Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon
Physical Review Letters · 1981 · Vol. 47(19) · pp. 1400–1403
Thomas A. Witten✉(Laboratoire de Physique Théorique de la Matière Condensée)Leonard M. Sander(University of Michigan–Ann Arbor)
Abstract
A model for random aggregates is studied by computer simulation. The model is applicable to a metal-particle aggregation process whose correlations have been measured previously. Density correlations within the model aggregates fall off with distance with a fractional power law, like those of the metal aggregates. The radius of gyration of the model aggregates has power-law behavior. The model is a limit of a model of dendritic growth.
Fractional Differential Equations SolutionsTheoretical and Computational PhysicsStatistical Mechanics and EntropyRadius of gyrationDiffusion-limited aggregationPower lawStatistical physicsDiffusionKinetic energyGyrationLimit (mathematics)PhysicsThermodynamics
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References
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Journal of Physics A Mathematical and General · 1977 · 423 citations
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