Statistical Mechanics and Phase Transitions

统计力学和相变

• 批准号: 9614495
• 负责人: Michael Fisher
• 金额: $ 54万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-12-01 至 2000-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9614495&HistoricalAwards=false
• 关键词: Statistical; Mechanics; Phase; Transitions

Michael Fisher is jointly supported by a grant from the Theoretical and Computational Chemistry Program in the Chemistry Division and the Materials Theory Program in the Division of Materials Research to continue his theoretical research in statistical mechanics, the study of ordered states of matter, phase transitions between states, and critical phenomena. The methodologies to be used include thermodynamic and scaling analyses, renormalization group methods, Monte Carlo simulations, and analytical and numerical techniques. Applications include: 1) investigations of fluid electrolytes that undergo Coulombic as opposed to solvophobic phase separation; 2) investigations of two-dimensional, hard core ionic fluids which provide a basic model for real systems exhibiting superfluidity and superconductivity; 3) the characterization of thermodynamic behavior near critical endpoints, particularly in fluid mixtures; 4) investigations of wall free energies and universal aspects of critical adsorption. Theoretical models of complex molecular systems are useful for understanding and interpreting experimental observations on these systems. They provide molecular insights into the complex molecular interactions that are responsible for macroscopic behavior and physical properties. Such insights are frequently also useful in optimizing the design of new materials having desired properties.

迈克尔·费舍尔是由理论和 化学系的计算化学课程和 材料研究部的材料理论计划， 继续他在统计力学方面的理论研究， 物质的有序状态，状态之间的相变，以及临界状态 现象。 使用的方法包括热力学和 标度分析，重整化群方法，蒙特卡罗模拟， 以及分析和数值技术。 应用包括：1） 研究流体电解质进行库仑，而不是 疏溶剂相分离; 2）二维，硬的研究 核心离子流体提供了一个基本模型的真实的系统， 超流性和超导电性; 3）表征 临界点附近的热力学行为，特别是在流体中 混合物; 4）壁自由能和普遍方面的调查 临界吸附。 复杂分子系统的理论模型对于 理解和解释这些实验观察 系统. 它们提供了对复杂分子的分子见解 相互作用，负责宏观行为和物理 特性. 这样的洞察力通常也有助于优化 设计具有所需性能的新材料。