Abstract
Two random aggregation models are used in demonstrating the properties of the random displacementsr i of the center of mass of aggregating particles. It is found that ∥r i ∥ is a randomly decreasing sequence that scales with the cluster size (steps)s and Σ =1/s i ∥r i ∥ ∝s 1/D, whereD is the fractal dimension. The center-of-mass random walk is a consistent representation of the dynamics of aggregation.
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Akuezue, H.C., Stringer, J. Random aggregation and random-walking center of mass. J Stat Phys 56, 461–470 (1989). https://doi.org/10.1007/BF01044446
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DOI: https://doi.org/10.1007/BF01044446