Derivation of a scaling law in cluster-cluster aggregations from a modified Smoluchowski's coagulation equation

Authors
Kalachev, L Morimoto, H Maekawa, T
Citation
L. Kalachev et al., Derivation of a scaling law in cluster-cluster aggregations from a modified Smoluchowski's coagulation equation, INT J MOD B, 15(6-7), 2001, pp. 774-779
Citations number
19
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
ISSN journal
02179792 → ACNP
Volume
15
Issue
6-7
Year of publication
2001
Pages
774 - 779
Database
ISI
SICI code
0217-9792(20010320)15:6-7<774:DOASLI>2.0.ZU;2-O
Abstract
We derived a scaling relation in cluster-cluster aggregations from a modifi ed Smoluchowski's coagulation equation and obtained the relation between th e scaling exponents and the control parameter. The power laws in cluster-cl uster aggregations derived from the scaling relations agreed with those of ferromagnetic colloidal particles obtained by a numerical calculation.