Studies in Statistical Mechanics

9523266 Lebowitz该补助金由材料研究部的材料理论计划，物理部的数学物理活动和数学科学部的应用数学计划支持。 将对统计力学中的各种问题进行研究，总体目标是从微观基础上帮助理解宏观物质。 要考虑的问题包括：携带稳态电流的宏观系统的性质;合金和流体中的相分离动力学，分别包括弹性和流体动力学效应;量子系统中低温相的平衡统计力学;典型可积和混沌系统的能级结构;扩散主导反应系统的空间结构;有空位和弹性效应的经典多组分模型的相图;宏观系统时间演化的量子描述中的基本问题。 该补助金由材料研究部的材料理论计划，物理部的数学物理活动和数学科学部的应用数学计划支持。 将对统计力学中的一些问题进行研究，这将有助于更好地理解物质的大尺度行为之间的关系，例如，流体及其潜在的颗粒性质，例如， 分子。 这项研究是根本性的，尽管其结果应有助于更好地理解许多具有实际意义的问题。 ***

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. ***