Microstructural clustering in multiphase materials and its quantification

In disperse multiphase systems, the dispersion of particles (microstructure) is regarded as a key factor affecting the processing of materials and determining their performance. Among many microstructural features, clustering, the tendency of dispersed particles phase to form clusters of various sizes, is considered to be of primary significance. The purpose of this study is to quantify clustering, and to understand its evolution with dimensionless temperature and surface fraction parameters using Monte-Carlo simulations of the Metropolis algorithm governed by Lennard-Jones potential restriction. The proof of concept of the use of Voronoii tesselation analysis was demonstrated to diagnose clustering. The scaling relationship of the clustering level with regards to the varied dimensionless temperature and surface fraction was derived.