کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
977314 1480168 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The effect of exclusion on nonlinear reaction–diffusion system in inhomogeneous media
ترجمه فارسی عنوان
اثر حذف بر روی سیستم غیر واکنشی غیر واکنشی در محیط غیر هنجاری
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی


• Nonlinear reaction–diffusion model with exclusion in the presence of disorder is studied.
• Exclusion terms are derived from the master equation.
• Green’s functions are derived for the linearized equations.
• The model describes of clusters of crystal surfaces.

We study a minimal model for the formation of clusters on surfaces in the presence of surface defects. A reaction–diffusion model is considered in which atoms undergo reactions at the defect centers to form clusters. Volume exclusion between particles is introduced through a drift term in the reaction–diffusion equation. This drift arises due the repulsive force field produced by the clustering atoms on the adatoms and vice versa. Approximate linearized equations are obtained which give useful insight into the process. The Green’s function method is used to obtain solutions of the coupled linearized equations. We have found that the clusterization process slows down due to exclusion. As a result the size of the clusters reduces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 405, 1 July 2014, Pages 52–62
نویسندگان
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