Statistical Mechanics and Phase Transitions

9311729 Fisher Michael Fisher由理论与计算化学和材料理论计划共同资助，继续他在统计力学和物质有序状态、这些状态之间的相变和相关临界现象方面的理论研究。其目的是阐明观察到的物理行为，揭示一般原理，并将其应用于特定案例。将使用各种理论技术，包括唯象、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，以及奇异热力学关联性质的级数展开及其外推。近年来，由于对凝聚相和固体与液体之间的相互作用有了详细的分子水平的了解，新材料的生产取得了重大进展。费舍尔的研究试图为界面张力、润湿、囊泡和膜的行为以及相分离等现象找到理论上的解释。

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.