Statistical Mechanics and Phase Transitions

统计力学和相变

• 批准号: 9311729
• 负责人: Michael Fisher
• 金额: $ 51万
• 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: 1993
• 资助国家: 美国
• 起止时间: 1993-08-01 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9311729&HistoricalAwards=false
• 关键词: Statistical; Mechanics; Phase; Transitions

9311729 Fisher Michael Fisher is jointly supported by a grant from the Theoretical and Computational Chemistry and the Materials Theory Programs to continue his theoretical research in statistical mechanics and the study of ordered states of matter, phase transitions between these states, and related critical phenomena. The aim is to elucidate observed physical behavior, uncovering general principles and applying them to specific cases. A variety of theoretical techniques will be utilized including phenomenological, thermodynamic and scaling analyses, renormalization group methods, Monte Carlo simulations, exact mathematical solutions of model statistical mechanical systems, and series expansions for singular thermodynamic correlation properties and their extrapolation. %%% Significant progress in the production of new materials has been aided in recent years by a detailed molecular level understanding of the interactions which occur in condensed phases and at interfaces between solids and liquids. Fisher's research seeks to find theoretical explanations for phenomena such as interfacial tension, wetting, the behavior of vesicles and membranes, and phase separations.

9311729费舍尔迈克尔·费舍尔由理论和计算化学和材料理论计划的资助共同支持，继续他在统计力学和有序状态物质，这些状态之间的相变和相关临界现象的研究的理论研究。 目的是阐明观察到的物理行为，揭示一般原则并将其应用于具体情况。 将利用各种理论技术，包括现象学，热力学和标度分析，重整化群方法，蒙特卡罗模拟，模型统计力学系统的精确数学解，奇异热力学相关性质及其外推的级数展开。 近年来，对凝聚相和固液界面相互作用的详细分子水平理解，有助于新材料生产的重大进展。 费舍尔的研究旨在为诸如界面张力、润湿、囊泡和膜的行为以及相分离等现象找到理论解释。