Model coupling in multiscale mathematics and properties of nanostructures

多尺度数学和纳米结构特性中的模型耦合

• 批准号: 312601-2010
• 负责人: Melnik, Roderick
• 金额: $ 1.75万
• 依托单位: Wilfrid Laurier University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=481350
• 关键词: Model; coupling; multiscale; mathematics; properties

Applications provide many examples of physical and biological systems whose properties depend inherently on a multitude of spatial and temporal scales. Studies of such systems and their properties at the nanoscale are particularly intriguing and would be impossible without mathematical models leading to some of the most challenging problems in modern applied mathematics. Many such systems have brought and will be bringing tremendous changes in our everyday lives. Today, we cannot imagine our life without telecommunications systems utilizing nanostructure lasers, without nanostructure-based electron devices encountered everywhere, from satellite television systems to virtually every home as part of CD players. Solar cells incorporating such nanostructures are already used extensively in space and terrestrial programs and are essential component of green-energy development programs, while the usage of nanostructures in the areas ranging from bioimaging and biosensing to cosmetics and personal care products continue to grow.

应用程序提供了许多物理和生物系统的例子，其属性固有地依赖于大量的空间和时间尺度。研究这样的系统和它们在纳米尺度上的性质是特别有趣的，如果没有数学模型，就不可能导致现代应用数学中一些最具挑战性的问题。许多这样的系统已经并将给我们的日常生活带来巨大的变化。今天，我们无法想象没有利用纳米结构激光器的电信系统，没有随处可见的基于纳米结构的电子设备，从卫星电视系统到几乎每个家庭的CD播放机，我们的生活会是什么样子。包含这种纳米结构的太阳能电池已经广泛用于太空和陆地计划，并且是绿色能源开发计划的重要组成部分，而纳米结构在从生物成像和生物传感到化妆品和个人护理产品等领域的使用继续增长。