Percolation behavior of diffusionally evolved two-phase systems simulated using phase field methods

Abstract

Percolation is an important phenomenon that dramatically affects the properties of many multi-phase materials. As such, significant prior work has been done to investigate the percolation threshold and critical scaling exponents of randomly assembled composites. However many materials are non-random as a result of correlations that are introduced during processing. This work seeks to address this case by studying the percolation behavior of diffusionally evolved two phase systems. Specifically, the values of the percolation threshold and critical exponents v, 3, and 7 are presented for two dimensional systems evolved through spinodal decomposition and nucleation and growth.