کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838531 908363 2009 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A birth and growth model for kinetic-driven crystallization processes, Part I: Modeling
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A birth and growth model for kinetic-driven crystallization processes, Part I: Modeling
چکیده انگلیسی

We consider a birth and growth model for crystallization processes in dd space dimensions, where growth is driven by the gradient of the concentration. A nonlinear condition for the concentration is given on the boundary and a multi-front moving boundary problem arises. We propose a new formulation based on the Schwartz distributions by coupling the growth of the crystals and the diffusion of the concentration. We complete the deterministic growth model by considering stochastic nucleations in space and time. The coupling of the growth dynamics with the evolution of the underlying field of the concentration of matter finally causes the stochastic geometry of the crystals.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 10, Issue 1, February 2009, Pages 71–92
نویسندگان
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