Issue J. Phys. II France Volume 4, Number 5, May 1994 Page(s) 865 - 872 DOI 10.1051/jp2:1994170

DOI: 10.1051/jp2:1994170
J. Phys. II France 4 (1994) 865-872

Kinetics of gelation growth in a sol-gel transition by a computer-simulation model

Y. Liu^{1, 2} and R. B. Pandey<sup>1, 3

1</sup>  The Program in Scientific Computing, University of Southern Mississippi, Hattiesburg, MS 39406, U.S.A.
²  Department of Computer Science and Statistics, University of Southern Mississippi, Hattiesburg, MS 39406, U.S.A.
³  Department of Physics and Astronomy, University of Southern Mississippi, Hattiesburg, MS 39406, U.S.A.

(Received 15 January 1994, accepted 31 January)

Abstract
A computer simulation model is used to study the kinetics of gelation of a low concentration of bifunctional ( C₂) and tetrafunctional ( C₄) monomers on a simple cubic lattice. The mobilities of the monomers and the microgel particles are considered. Monomers react with their neighbors with a certain probability after hopping with a fixed number of steps. Growth of the concentration of saturated bonds, weight average degree polymerization, and the volume fraction of the gel are studied as a function of reaction time. We find that the critical gel time (i.e. the gel point) depends nonlinearly on the mobility steps of hopping.

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