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Aggregation with Multiple Conservation Laws

P. L. Krapivsky·E. Ben-Naim
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Abstract

Aggregation processes with an arbitrary number of conserved quantities are investigated. On the mean-field level, an exact solution for the size distribution is obtained. The asymptotic form of this solution exhibits nontrivial ``double'' scaling. While processes with one conserved quantity are governed by a single scale, processes with multiple conservation laws exhibit an additional diffusion-like scale. The theory is applied to ballistic aggregation with mass and momentum conserving collisions and to diffusive aggregation with multiple species.

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P. L. Krapivsky, E. Ben-Naim. 1995-06-08. Aggregation with Multiple Conservation Laws. https://doi.org/10.1103/physreve.53.291

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