Static and Dynamic Properties of Surfaces

表面的静态和动态特性

• 批准号: 9001519
• 负责人: Mehran Kardar
• 金额: $ 13.5万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-01 至 1993-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9001519&HistoricalAwards=false
• 关键词: Static; Dynamic; Properties; Surfaces

The research proposed here is a continuation of the previous grant, aimed at understanding the statistical mechanics and dynamics of a variety of surfaces and interfaces. There are various interesting and fundamental issues, relevant to many different fields that remain to be probed. Most of these questions fall into the following broad categories: (1) Random Manifolds, such as polymers and membranes, obtained from embeddings in a higher dimensional space. (2) Evolving interfaces, such as a growing crystal facet, swelling gel, or a flowing sandpile. (3) Interfaces and Paths in Random Media are relevant to studies as diverse as the trapping of flux lines in a dirty superconductor, to the interference of Feynman paths in a doped semiconductor.

这里提出的研究是先前资助的延续，旨在了解各种表面和界面的统计力学和动力学。 有许多有趣且基本的问题，与许多不同领域相关，有待探讨。 这些问题大多数分为以下几类：（1）随机流形，例如通过嵌入更高维空间中获得的聚合物和膜。 (2) 不断变化的界面，例如生长的晶面、膨胀的凝胶或流动的沙堆。 (3) 随机介质中的界面和路径与脏超导体中通量线的捕获、掺杂半导体中费曼路径的干扰等多种研究相关。