Fronts, Fluctuations and Growth

前沿、波动和增长

• 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

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：Charles Doering机构：密歇根大学标题：前沿、波动和增长摘要这项跨学科研究汇集了密歇根大学数学、物理和化学工程系的研究人员，研究材料科学中出现的前沿传播和图案形成问题和化学。 该项目的中心目标是从理论上和数学上阐明波动、噪声和无序对化学反应和薄膜生长等非平衡系统中界面动力学的作用。 该项目结合了理论凝聚态和统计物理学、动力学蒙特卡罗和数值模拟以及数学建模和分析，以研究科学和技术感兴趣的系统中随机和非线性效应的相互作用。关于这项活动的智力价值，研究该项目的结果将导致针对材料科学和纳米技术中小规模物理和化学过程日益重要的问题开发有效的数学描述和高效的计算方案。 就该活动更广泛的影响而言，它还有一个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主要研究者的指导下开展原创性博士论文研究。