Rigorous results in the scaling theory of irreversible aggregation kinetics


Por: Leyvraz F.

Publicada: 1 ene 2005
Resumen:
The kinetic equations describing irreversible aggregation and the scaling approach developed to describe them in the limit of large times and large sizes are tersely reviewed. Next, a system is considered in which aggregates can only react with aggregates of their own size. The existence of a scaling solution of the kinetic equations can then be shown rigorously in the case in which the total mass of the system is conserved. A large number of detailed properties of the solution, previously predicted by qualitative arguments, can be shown rigorously as well in this system. In the case in which gelation occurs, some sketchy rigorous results are shown, and numerical evidence for the existence of a scaling solution is presented. These are the first explicit examples of typical scaling behaviour for systems exhibiting gelation.

Filiaciones:
Leyvraz F.:
 Centro de Ciencias Físicas, University of Mexico, Av. Universidad s/n, Colonia Chamilpa, Cuernavaca, Morelos, 62131, Mexico
ISSN: 14029251
Editorial
ATLANTIS PRESS, 29 AVENUE LAUMIERE, PARIS, 75019, FRANCE, Singapur
Tipo de documento: Article
Volumen: 12 Número: SUPP
Páginas: 449-465
WOS Id: 000226501000039
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