Quantitative Evaluation of Phase Field Microstructure Based on the Variational Principle

Abstract

In order to investigate the quantitative feature of calculated microstructure which has undergone averaging processes, the change of microstructural image is evaluated by a single parameter which was derived based on the variational principle for the image restoration process. It is shown that the employed parameter well describes the sharpness of the calculated microstructure, and by tracing the evolution of the parameter with the averaging size, one can determine the threshold of averaging scale, which may be utilized to evaluate the validity of microstructural image obtained by calculations.