Fronts, Fluctuations and Growth

前沿、波动和增长

基本信息

批准号：
0244419
负责人：
Charles Doering
金额：
$ 21.6万
依托单位：
Regents of the University of Michigan - Ann Arbor
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2003
资助国家：
美国
起止时间：
2003-07-01 至 2007-06-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=0244419&HistoricalAwards=false
关键词：
Fronts Fluctuations Growth

项目摘要

Proposal: DMS-0244419PI: Charles DoeringInstitution: University of MichiganTitle: Fronts, Fluctuations, and GrowthABSTRACTThis interdisciplinary investigation brings together researchers from the University of Michigan's Departments of Mathematics, Physics and Chemical Engineering to study questions of front propagation and pattern formation arising in materials science and chemistry. The central goal of the project is to elucidate, theoretically and mathematically, the roles of fluctuations, noise and disorder on the dynamics of interfaces in nonequilibrium systems such as chemical reactions and thin film growth. This project combines theoretical condensed matter and statistical physics, Kinetic Monte Carlo and numerical simulations, and mathematical modeling and analysis to investigate the interplay of stochastic and nonlinear effects in systems of scientific and technological interest.With regard to the intellectual merit of this activity, research results from this project will lead to the development of effective mathematical descriptions and efficient computational schemes for problems of increasing importance for small-scale physical and chemical processes in materials science and nanotechnology. With regard to the broader impacts of this activity, it also has a significant advanced training aspect: a graduate student research assistant associated with this project will carry out original PhD thesis research under the guidance of the principal investigators.

提案：DMS-0244419PI：查尔斯·杜林（Charles Doeringinstitution）：密歇根大学大学：阵线，波动和成长跨学科的研究将密歇根大学数学，物理学和化学工程学系的研究人员聚集在一起，以研究材料形成和化学材料化学材料化学和化学材料化学和化学材料化学的问题。该项目的核心目的是从理论和数学上阐明波动，噪声和障碍在非平衡系统中界面动力学上的作用，例如化学反应和薄膜的生长。该项目结合了理论上的凝结物质和统计物理学，动力学蒙特卡洛和数值模拟以及数学建模和分析，以调查随机和非线性在科学和技术兴趣系统中的相互作用。与该活动的智力优点有关该项目的智力优点，该项目将导致有效的数学阶段和有效的计算有效的计算成果，并有效地提高了有效的计算，并有效地有效地计算了有效的计算，并有效地有效地计算了有效的计算结果。材料科学和纳米技术的过程。关于这项活动的更广泛影响，它还具有重要的高级培训方面：与该项目相关的研究生研究助理将在首席研究人员的指导下进行原始的博士学位论文研究。