Elastic Interaction of Nanostructures

纳米结构的弹性相互作用

• 批准号: 9988597
• 负责人: Demitris Kouris
• 金额: $ 18.43万
• 依托单位: Arizona State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-07-01 至 2001-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9988597&HistoricalAwards=false
• 关键词: Elastic; Interaction; Nanostructures

9988597The nature of the transition from the nanoscale to the continuum will be specifically examined in an effort to obtain a quasi-continuum formulation. Many thin-film/substrate systems initially grow in a two-dimensional (2D) or atomically flat mode but eventually undergo a roughening transition, yielding three-dimensional (3D) islands on the top of the 2D layers. A research program that combines theory and numerical simulations is planned. Its goal is to obtain a quantitatively accurate picture of the elastic field in the vicinity of surface defects and their elastic interactions. It is necessary that the problem be addressed at both the continuum and atomic (discrete) scale. The predictions of continuum models should be accurate, as long as the distance between defects remains sufficiently large (long-range interaction). As the separation distance between interacting defects diminishes, the atomic/continuum approaches diverge and the necessity of a lattice model becomes apparent. The short-range interaction of defects cannot be determined without a discrete elastic model.

9988597从纳米尺度到连续体的过渡性质将被专门检查，以获得准连续体制剂。许多薄膜/衬底系统最初以二维（2D）或原子平面模式生长，但最终经历粗糙化过渡，在2D层的顶部产生三维（3D）岛。一个研究计划，结合理论和数值模拟计划。它的目标是获得一个定量准确的图像的弹性场附近的表面缺陷和它们的弹性相互作用。 有必要在连续和原子（离散）尺度上解决这个问题。 只要缺陷之间的距离保持足够大（长程相互作用），连续模型的预测应该是准确的。 随着相互作用的缺陷之间的分离距离的减小，原子/连续的方法发散和晶格模型的必要性变得明显。 如果没有离散的弹性模型，就不能确定缺陷的短程相互作用。