کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10621207 | 988784 | 2005 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Evolution of pattern complexity in the Cahn-Hilliard theory of phase separation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی مواد
سرامیک و کامپوزیت
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Evolution of pattern complexity in the Cahn-Hilliard theory of phase separation Evolution of pattern complexity in the Cahn-Hilliard theory of phase separation](/preview/png/10621207.png)
چکیده انگلیسی
Phase separation processes in compound materials can produce intriguing and complicated patterns. Yet, characterizing the geometry of these patterns quantitatively can be quite challenging. In this paper we propose the use of computational algebraic topology to obtain such a characterization. Our method is illustrated for the complex microstructures observed during spinodal decomposition and early coarsening in both the deterministic Cahn-Hilliard theory, as well as in the stochastic Cahn-Hilliard-Cook model. While both models produce microstructures that are qualitatively similar to the ones observed experimentally, our topological characterization points to significant differences. One particular aspect of our method is its ability to quantify boundary effects in finite size systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Materialia - Volume 53, Issue 3, February 2005, Pages 693-704
Journal: Acta Materialia - Volume 53, Issue 3, February 2005, Pages 693-704
نویسندگان
Marcio Gameiro, Konstantin Mischaikow, Thomas Wanner,