Aggregation with Multiple Conservation Laws

Details Aggregation with Multiple Conservation Laws Aggregation with Multiple Conservation Laws

1995-06-08

arxiv.org/abs/cond-mat/9506034v1

Phys. Rev. E 53, 291 (1996).

Physics

Condensed Matter

18 pages, tex

Scientific paper

10.1103/PhysRevE.53.291

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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