Exact relations between kinetic gelation and percolation


Por: Leyvraz F.

Publicada: 1 ene 1990
Resumen:
An exact relation between one of the recently introduced models for kinetic gelation and random percolation is displayed. This explains the frequently observed identity between the exponents of the two models. Moreover, it strongly suggests that any further universal properties of percolation are also shared by kinetic gelation. In particular, a rigorous inequality due to van den Berg and Kesten (1985) can be used to display an inconsistency between the observed values of the exponents beta and nu and the observed value of the fractal dimension of the backbone in kinetic gelation. The more complex issue of the observed variation of the amplitude ratio cannot be easily resolved, however. Should the observed discrepancies be real, they would, according to the author's results, indicate that the amplitude ratio can indeed vary depending upon the underlying lattice structure.
ISSN: 03054470





J PHYS A-MATH GEN
Editorial
Institute of Physics Publishing
Tipo de documento: Article
Volumen: 23 Número: 6
Páginas: 987-998
WOS Id: A1990CV53100020