Open Access

ABSTRACT

Unified Model Equations for Study of Microstructure Evolution

K. G. Wang¹

1 Physics and Space Sciences Department, Materials Science and Nanotechnology Institute, Florida Institute of Technology, Melbourne, FL 32901

The International Conference on Computational & Experimental Engineering and Sciences 2008, 5(3), 179-186. https://doi.org/10.3970/icces.2008.005.179

Abstract

Microstructural modeling is very important because it can provide a critical link between properties, mesoscopic length scale, and atomistic scale (multiscale modeling). There exist a couple of models and simulations to study microstructural evolution. It will be important and useful to discover unified model equations hidden in microstructure evolution. In this paper, I will derive the unified model equations for microstructure evolution. The governing equations in Lifshitz-Slyozov-Wagner theory and diffusion screening theory that modeled microstructural evolution are derived with some approximations from the unified model equations. The governing equations in multiparticle diffusion simulation and phase-field simulation in microstructure evolution are also derived from the unified model equations. The advantages and limitations for different theories and simulations in microstructure evolution are compared. This comparison can guide scientists to select computational tools for their needs in microstructure evolution. The unified model equations can be applied in many new technological fields, such as self-assembly in nanoscience.

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