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Abstract

A grain is a crystal within the polycrystal, which usually does not have a regular shape; and, a grain boundary is a zone of transition between different crystalline orientations of the adjacent grains. Here we discuss the diffuse-interface description for movement of grain boundaries and assurity of the diffuse interface field model in explaining curvature driven micro-structural evolutions. In this study, we only consider two dimensional systems with isotropic grain boundary energy. Specifically, we report results from our studies on two grains of elliptical  geometries in 2-D and the effect of various simulation parameters on the results. There are a variety of computer simulation methods to study grain growth; for example, models such as boundary dynamics model, vertex models, Potts model, Voronoi tessellation and models based on mean field theories (see Ref. 9). In this report, we use diffuse-interface models of the type proposed by Chen and co workers (see Ref. 9-11). In this section we summarise the salient features of as well as some of the pertinent results from the diffuse interface models.

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