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Publication 06-CNA-011
Texture Evolution Via Continuous Time Random Walk Theory Maria Emelianenko Dmitry Golovaty David Kinderlehrer Shlomo Ta'asan One of the most challenging aspects of this problem is to understand the role of topological reconfigurations during coarsening. In this paper, we study mesoscopic behavior of a one-dimensional grain boundary system and investigate the possibility of modeling texture evolution. We suggest a stochastic framework based on the theory of continuous time random walks that may be used to model this system. We compare the predictions of the corresponding evolution equations with simulations and discuss their limitations and possible extensions to higher-dimensional cases. Get the paper in its entirety as 06-CNA-011.pdf |