Predicting multidimensional distributive properties of hyperbranched polymer resulting from AB2 polymerization with substitution, cyclization and shielding

Abstract

A deterministic mathematical model for the polymerization of hyperbranched molecules accounting for substitution, cyclization, and shielding effect has been developed as a system of nonlinear population balances. The solution obtained by a novel approximation method shows perfect agreement with the analytical solution in limiting cases and provides, for the first time in this class of polymerization problems, full multidimensional results.

38 pages, 22 figures

Cited by in corpus (3)

• Emergence of the giant weak-component in directed random graphs with arbitrary degree distributions
• Random graph approach to multifunctional molecular networks
• Analytical results on the polymerisation random graph model