US-Mexico Cooperative Research: Statistical Mechanics of Chemical Kinetics and Random Systems

该奖项将支持波士顿的西德尼·雷德纳教授 大学在研究合作教授弗朗索瓦A。 库埃尔纳瓦卡国立自治大学的莱夫拉兹说， 墨西哥 研究人员打算研究广泛的动力学 和动态现象，基于现代统计方法， 力学 这项研究的一个主要目标是阐明， 一般来说，波动的作用简单 扩散控制的反应，以及缓慢的弛豫 在可逆和不可逆的化学反应中。 此外，研究人员还将寻求更好地了解 多重分形的基本物理定律 系统，如随机电阻网络和一类物理 随机系统下的过程，包括流体动力学 分散和过滤。 了解扩散控制反应的动力学是一个 重要的基础科学问题， 应用，如捕获和弛豫过程中， 凝聚物、聚集和凝胶化过程，以及化学 反应堆工程 现代化的强大工具的应用， 如标度和重整化群，应该会产生进一步的结果。 对这些过程的理解。 随机系统的研究是一个 最近的一个研究领域， 产生了各种新的物理现象， 基本的和持久的问题。 墨西哥方面将 在传播领域贡献了强大的背景， 聚合过程，而美国方面带来的 与统计力学和研究的协作专长 随机系统

This award will support Professor Sidney Redner of Boston University in a research collaboration with Professor Francois A. Leyvraz of the National Autonomous University in Cuernavaca, Mexico. The investigators intend to study a wide-range of kinetic and dynamic phenomena, based on approaches using modern statistical mechanics. A major goal of the research is to elucidate, in general terms, the role of fluctuations in simple diffusion-controlled reactions, as well as slow relaxation phenomena in both reversible and irreversible chemical reactions. In addition, the researchers will seek a better understanding of the fundamental physical laws underlying multi-fractality for systems such as the random resistor network and a class of physical processes under random systems that encompass hydrodynamic dispersion and filtration. Understanding the kinetics of diffusion-controlled reactions is an important basic science problem with a wide variety of applications, such as trapping and relaxation processes in condensed-matter, aggregation and gelation processes, and chemical reactor engineering. Application of modern and powerful tools, such as scaling and the renormalization group, should yield further insights into these processes. The study of random system is a much more recent area of research, the effects of disorder giving rise to a variety of new physical phenomena, as well as posing fundamental and enduring questions. The Mexican side will contribute a strong background in the area of diffusion and aggregation processes while the U.S. side brings to the collaboration expertise with statistical mechanics and the study of random systems.