A generalized transient network model for associative polymer networks

A transient network model is described for a polymeric system consisting of linear chains, connected with temporary cross-links. The model is a reformulation and extension of a similar model which was presented recently [Wientjes, R. H. W.; Jongschaap, R. J. J.; Duits, M. H. G.; Mellema, J. A new transient network model for associative polymer networks. J. Rheol. 1999, 43, 375-391]. Contrary to common transient network models the interconnection between segments is explicitly taken into account. The dynamics of the system is also described by the state of a whole chain, instead of separate segments. As a result a prediction of the shape of relaxation spectra is possible. The model predicts broad spectra with long relaxation times, in particular for chains with many stickers. In the present formulation also systems with multiple types of stickers can be treated. In that case, plateau regions in dynamic moduli may appear.