Mathematical Sciences: Mathematical Problems in Statistical Mechanics and Condensed Matter Theory

数学科学：统计力学和凝聚态理论中的数学问题

• 批准号: 9403842
• 负责人: Jennifer Chayes
• 金额: $ 8.4万
• 依托单位: University of California-Los Angeles
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9403842&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Problems; Statistical; Mechanics

Chayes This research involves the use of mathematical models and analysis to study problems arising in materials research. Three specific projects are to be studied. The first concerns the dynamical behavior of large droplets of one phase immersed in a second. The second project is a study of a recent model of aerogels. And the third project is a study of some problems of first passage percolation. This research involves the use of mathematical models and analysis to study problems arising in materials research. While the problems arise in materials research, new mathematics will need to be developed to study these problems. In particular, tools from functional analysis and probability will be useful. ***

蔡斯：这项研究涉及使用数学模型和分析来研究材料研究中出现的问题。将研究三个具体项目。第一个问题是一个相的大液滴浸入另一个相的动力学行为。第二个项目是对最新的气凝胶模型的研究。第三个课题是研究首道渗流的一些问题。本研究涉及使用数学模型和分析来研究材料研究中出现的问题。当材料研究中出现问题时，需要发展新的数学来研究这些问题。特别地，来自功能分析和概率的工具将是有用的。＊＊＊