Statistical Mechanics and Phase Transitions

9311729 Fisher Michael Fisher在理论与计算化学和材料理论项目的共同资助下，继续他在统计力学方面的理论研究，以及对物质有序状态、这些状态之间的相变和相关临界现象的研究。目的是阐明观察到的身体行为，揭示一般原理并将其应用于具体案例。各种理论技术将被利用，包括现象学、热力学和尺度分析、重整化群方法、蒙特卡罗模拟、模型统计机械系统的精确数学解、奇异热力学相关性质的级数展开及其外推。近年来，对凝聚态和固液界面的相互作用有了详细的分子水平的理解，有助于新材料生产取得重大进展。费舍尔的研究旨在为界面张力、润湿、囊泡和膜的行为以及相分离等现象找到理论解释。

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.