AGGREGATION WITH MULTIPLE CONSERVATION-LAWS

Citation
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
Citations number
38
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
53
Issue
1
Year of publication
1996
Part
A
Pages
291 - 298
Database
ISI
SICI code
1063-651X(1996)53:1<291:AWMC>2.0.ZU;2-I
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 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.