Random Solids and Other Topics in Condensed Matter Theory

随机固体和凝聚态理论中的其他主题

• 批准号: 9975187
• 负责人: Paul Goldbart
• 金额: $ 27.6万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-07-01 至 2003-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9975187&HistoricalAwards=false
• 关键词: Random; Solids; Other; Topics; Condensed

9975187GoldbartThis award supports research into the fundamental properties of disordered solid materials, such as rubber, glasses, and gels, that are formed by the permanent or temporary random bonding of atoms, molecules, or macromolecules. The proposed research focuses on the questions: Given their randomness, what can one say at all about random solids? Can one characterize their structure and and their response to perturbations? Do they exhibit universal aspects that transcend any particular material? Are there any senses in which random solids are simpler or more universal than their crystalline counterparts? Can one develop an accurate theory of the highly unusual transition to the random solid state? What light, if any, do vulcanized solids shed on glassy matter? These questions will be attacked using statistical mechanics, statistical field theory, and large-scale computer simulations. The PI plans to work on other topics of condensed matter theory including aspects of superfluidity in Bose-Einstein condensed alkali-metal gases and liquid helium-three, electrical properties of magnetic compounds, and biology inspired questions concerning the spatial structure of macromolecules. The proposed research provides important educational opportunities for the next generation of condensed matter theorists. %%%This award supports fundamental theoretical research into the nature of disordered solids, many of which are ubiquitous in our everyday experience. These include rubber, glass, and many foodstuffs. The PI will use state-of-the-art techniques in theoretical condensed matter theory to investigate the nature and properties of these materials. The research environment will provide quality educational opportunities for the next generation of condensed matter theorists.

该奖项支持对无序固体材料基本性质的研究，如橡胶、玻璃和凝胶，这些材料是由原子、分子或大分子的永久或暂时随机结合而形成的。提议的研究集中在以下问题上：考虑到它们的随机性，我们能对随机固体说些什么？我们能描述它们的结构和对扰动的反应吗？它们是否表现出超越任何特定物质的普遍方面？在某种意义上，随机固体比它们的晶体更简单或更普遍吗？对于这种极不寻常的向随机固态的转变，我们能提出一个准确的理论吗？如果有的话，硫化固体在玻璃物质上放射出什么光？这些问题将使用统计力学、统计场理论和大规模计算机模拟来解决。PI计划研究凝聚态理论的其他主题，包括玻色-爱因斯坦凝聚态碱金属气体和液态氦- 3的超流动性方面，磁性化合物的电学性质，以及有关大分子空间结构的生物学启发问题。提出的研究为下一代凝聚态理论家提供了重要的教育机会。该奖项支持对无序固体性质的基础理论研究，其中许多在我们的日常生活中无处不在。这些包括橡胶、玻璃和许多食品。PI将使用理论凝聚态理论的最先进技术来研究这些材料的性质和特性。研究环境将为下一代凝聚态理论家提供优质的教育机会。