Studies in Statistical Mechanics

9813268lebowitz本基金由材料研究部材料理论项目、物理部数学物理活动项目和数学科学部应用数学项目资助。该奖项支持统计力学的教育和广泛的研究项目，目的是更好地理解宏观现象，如平衡和非平衡系统的相变，起源于物质微观成分的合作行为。具体的研究主题包括：扩展最近的工作，目的是发展相变的连续统理论，如沸腾和熔化；连续流体和合金从均匀高温相突然冷却到共存区后发生的相偏析动力学问题，特别关注受外力作用的弹性合金；宏观系统的平稳非平衡状态的性质，例如那些承载稳态电流的系统；宏观系统的量子描述包括平衡系统的涨落和大偏差以及非平衡系统的不可逆行为。该基金由材料研究部的材料理论项目、物理部的数学物理活动项目和数学科学部的应用数学项目资助。将对统计力学中的一些问题进行研究，这些问题将导致更好地理解物质（例如流体）的大规模行为与其潜在的颗粒性质（例如分子）之间的关系。这项研究是基础性的，但与许多实际利益问题相关的战略问题也得到了解决

9813268LebowitzThis grant is supported by the Materials Theory Program in the Division of Materials Research, the Mathematical Physics Activity in the Physics Division and the Applied Mathematics Program in the Division of Mathematical Sciences. This award supports education and a broad research program in statistical mechanics with the aim of a better understanding of macroscopic phenomena, such as phase transitions in equilibrium and nonequilibrium systems, originating in the cooperative behavior of the microscopic constituents of matter. Specific topics for investigation include: extending recent work with the aim of developing a continuum theory of phase transitions such as boiling and melting; the problem of the kinetics of phase segregation of continuum fluids and alloys that occurs following the sudden cooling from a uniform high temperature phase into a coexistence region, with a particular focus on elastic alloys subjected to external stresses; the properties of stationary nonequilibrium states of macroscopic systems, such as those carrying steady state currents; and the quantum description of macroscopic systems which includes fluctuations and large deviations in equilibrium and irreversible behavior in nonequilibrium systems. %%% This grant is supported by the Materials Theory Program in the Division of Materials Research, the Mathematical Physics Activity in the Physics Division and the Applied Mathematics Program in the Division of Mathematical Sciences. Research will be done on a number of problems in statistical mechanics which will lead to a better understanding of the relationship between the large-scale behavior of matter, e.g., fluids, and its underlying particulate nature, e.g., molecules. This research is fundamental, but strategic issues associated with many problems of practical interest are addressed.***