Pl. Krapivsky et E. Bennaim, AGGREGATION WITH MULTIPLE CONSERVATION-LAWS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(1), 1996, pp. 291-298
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 ex
hibits nontrivial ''double'' scaling. While processes with one conserv
ed quantity are governed by a single scale, processes with multiple co
nservation laws exhibit an additional diffusionlike scale. The theory
is applied to ballistic aggregation with mass and momentum conserving
collisions and to diffusive aggregation with multiple species.