U.S.-Netherlands Cooperative Research: Models for Fluids Exhibiting Percolation

美国-荷兰合作研究：表现出渗透作用的流体模型

• 批准号: 8712576
• 负责人: James Dufty
• 金额: --
• 依托单位: University of Florida
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-03-15 至 1992-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8712576&HistoricalAwards=false
• 关键词: U.S.; Netherlands; Cooperative; Research; Models

This award will enable Professor James T. Dufty of the University of Florida to collaborate with Professor Matthieu H. Ernst and others of the State University of Utrecht, The Netherlands in research on mathematical models of percolation in fluids. Their general objective is to gain an improved theoretical understanding of the microscopic basis for transport properties of simple fluids. Diffusion is among the most fundamental of dynamical processes in fluids and other materials. The researchers will work first on random lattice models that represent diffusion as random walks on a disordered lattice, approximating the confinement of an atom or particle in a dense liquid (as, for example, in percolation processes). Such models are the simplest in a hierarchy of increasingly realistic descriptions of fluid dynamical behavior. Results from these random lattice models will provide the basis for a similar study of the Lorentz gas, an idealized fluid, to resolve discrepancies between theory and computer simulations. Professor Ernst and his colleagues at Utrecht possess outstanding theoretical and computational expertise in random lattice models and the Lorentz gas. Professor Dufty has developed numerical and analytical tools for kinetic models of bound state transport properties. These complementary strengths, and the overlapping background of the collaborators in modern kinetic theory methods, should lead to significant progress in this area of statistical mechanics. Ultimately, a better understanding of transport properties in systems with percolation will have value in many scientific disciplines and industrial applications.

该奖项将使佛罗里达大学的James T. duffy教授能够与荷兰乌得勒支州立大学的Matthieu H. Ernst教授和其他人合作研究流体渗流的数学模型。他们的总体目标是提高对简单流体输运性质的微观基础的理论认识。扩散是流体和其他物质中最基本的动力学过程之一。研究人员将首先研究随机晶格模型，该模型将扩散表示为无序晶格上的随机行走，近似于原子或粒子在致密液体中的限制（例如，在渗透过程中）。在对流体动力学行为越来越真实的描述中，这种模型是最简单的。这些随机晶格模型的结果将为洛伦兹气体（一种理想流体）的类似研究提供基础，以解决理论和计算机模拟之间的差异。恩斯特教授和他在乌得勒支的同事在随机晶格模型和洛伦兹气体方面拥有杰出的理论和计算专业知识。duffy教授为束缚态输运性质的动力学模型开发了数值和分析工具。这些互补的优势，以及现代动力学方法合作者的重叠背景，应该会导致统计力学这一领域的重大进展。最终，更好地理解渗透系统中的输运性质将在许多科学学科和工业应用中具有价值。