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

该奖项将使詹姆斯·T.大学的Dufty 佛罗里达大学与马修·H.恩斯特和其他人 荷兰乌得勒支州立大学研究员， 流体渗流的数学模型 其一般 目的是获得更好的理论理解， 简单流体输运性质的微观基础。 扩散是最基本的动力学过程之一， 流体和其他材料。 研究人员将首先研究 随机格子模型，将扩散表示为 无序的晶格，近似于原子的限制， 稠密液体中的微粒（如渗滤 过程）。 这样的模型是层次结构中最简单的， 对流体动力学行为的越来越真实的描述。 从这些随机晶格模型的结果将提供基础， 对洛伦兹气体（一种理想化的流体）进行类似的研究， 理论和计算机模拟之间的差异。 恩斯特教授和他的同事在乌得勒支拥有杰出的 随机晶格模型的理论和计算专业知识， 洛伦兹气体 Dufty教授开发了数字和 束缚态迁移动力学模型的分析工具 特性. 这些优势互补， 现代动力学理论方法的合作者背景， 应导致在统计领域取得重大进展， 力学 最终，更好地理解交通 具有渗流的系统中的性质在许多方面都有价值。 科学学科和工业应用。

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.