Elaboration of the model of branched cross‐linked macromolecular structures and the preparation of new materials following theoretically obtained results

The problem of the analytical modeling of macromolecular systems with branching is solved by the statistical polymer, which is based on consideration of averaged structures. All interactions are described in terms of statistical polymers. Cross‐linking is considered as a result of interactions inside statistical polymers. It is concluded that cross‐linking may result in the formation of infinitely hard structures and gelling. Thermodynamic functions of statistical polymers are derived and employed for simulation of the evolution of a non‐equilibrium polymeric system. Equations for the evaluation of various parameters of polymeric systems with branching are derived. Theoretical results are used for the preparation of new materials (having a branched, cross‐linked structure) with forecasted properties.