H. Tobita, SIMULATION-MODEL FOR NETWORK FORMATION IN FREE-RADICAL CROSS-LINKING COPOLYMERIZATION - PREGELATION PERIOD, Makromolekulare Chemie. Theory and simulations, 2(5), 1993, pp. 761-776
A new simulation model for network formation in free-radical copolymer
ization of vinyl and divinyl monomers is proposed. This model is based
on the crosslinking density distribution of the primary polymer molec
ules that results from a kinetically controlled network formation. The
crosslinking density distribution provides information on how each ch
ain is connected to other chains and, therefore, a detailed analysis o
f the kinetics of network formation becomes possible by application of
Monte Carlo simulations. In this method, not only averages but also v
arious distributions, such as molecular weight distribution and distri
bution of crosslinked units as well as of unreacted pendant double bon
ds among various polymer molecules, can be calculated. The present the
ory is a direct solution for the Bethe lattice formed under nonequilib
rium conditions, and, therefore, it can be used to examine the applica
bility of the earlier theories of network formation to kinetically con
trolled systems. The present method is quite general and can be applie
d to various complex reaction systems that involve crosslinking, branc
hing, cyclization and degradation in a nonequilibrium system.