Random Solids and Other Topics in Condensed Matter Theory

9975187 Goldbart该奖项支持研究无序固体材料的基本性质，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键合形成的。 拟议的研究集中在以下问题上：鉴于它们的随机性，人们对随机固体能说些什么？人们能否描述它们的结构和它们对扰动的反应？它们是否表现出超越任何特定材料的普遍性？ 在某种意义上，随机固体比它们的晶体对应物更简单或更普遍吗？ 人们能否发展出一种精确的理论，来解释这种极不寻常的向随机固态的转变？ 如果有的话，硫化固体对玻璃状物质有什么影响？ 这些问题将使用统计力学、统计场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-爱因斯坦凝聚碱金属气体和液态氦三的超流性，磁性化合物的电学性质，以及生物学启发的有关大分子空间结构的问题。 拟议中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。 这些材料包括橡胶、玻璃和许多食品。 PI将使用理论凝聚态理论中最先进的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。

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.