Studies in Statistical Mechanics

9523266 Lebowitz本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。研究统计力学中的各种问题，其总体目标是从微观基础上理解宏观物质。要考虑的问题包括：承载稳态电流的宏观系统的性质；合金和流体中的相偏析动力学，分别包括弹性和流体动力效应；量子系统中低温相的平衡统计力学典型可积混沌系统的能级结构扩散主导反应体系的空间结构；考虑空位和弹性效应的经典多分量模型相图宏观系统时间演化的量子描述中的基本问题。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，尽管其结果应该有助于更好地理解许多实际感兴趣的问题。* * *

9523266 Lebowitz 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 conducted on a variety of problems in statistical mechanics with the overall objective of contributing to the understanding of macroscopic matter from a microscopic basis. Problems to be considered include: properties of macroscopic systems carrying steady state currents; kinetics of phase segregation in alloys and fluids including elastic and hydrodynamical effects, respectively; equilibrium statistical mechanics of low temperature phases in quantum systems; structure of energy levels in typical integrable and chaotic systems; spatial structure of diffusion dominated reacting systems; phase diagrams of classical multicomponent models with vacancies and elastic effects; and, fundamental problems in the quantum description of the time evolution of macroscopic 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, although its outcomes should contribute to a better understanding of many problems of practical interest. ***