Aggregation with Multiple Conservation Laws,
P.L. Krapivsky and E. Ben-Naim
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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