Method of moments: A versatile tool for deterministic modeling of polymerization kinetics

Method of moments is a simple deterministic method widely applicable in modeling various polymerization processes. This method is easy to use and computationally inexpensive. Although the mathematics involved is simple and elementary, the derivation step is often lengthy and thus it may be intimidating. This paper aims to serve as a tutorial by providing step-by-step guide on how to apply the method of moments to different polymerization and polymer modification systems. The basics behind method of moments, the limitation related to it, and common problems encountered in derivation with ways to counter them are described in details. Several examples are presented to clearly elucidate these concepts.