Statistical Mechanics of Driven Diffusive Systems

驱动扩散系统的统计力学

• 批准号: 9727574
• 负责人: Royce K Zia
• 金额: $ 43.7万
• 依托单位: Virginia Polytechnic Institute and State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-01-01 至 2001-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9727574&HistoricalAwards=false
• 关键词: Statistical; Mechanics; Driven; Diffusive; Systems

9727574 Zia This is a renewal grant to two researchers to continue their program on driven diffusive systems: complex behavior of interacting many-particle systems which are driven into steady states far from thermal equilibrium. A combination of techniques will be used to study these systems including exact solutions and simulations on discrete lattice models, as well as analytic techniques on continuum field theories. These systems are relevant to such diverse applications as surface/crystal growth, intercalation, granular materials, fracture dynamics, gel electrophoresis, diffusion in complex environments, traffic flow, etc. The first part of this grant will focus on collective behavior in driven diffusive lattice gases. While the simplest models are reasonably well understood, many of their generalizations, e.g., skew boundary conditions, anisotropic interactions, extreme aspect ratios or charge asymmetries, present unanticipated challenges. The second part will focus on new directions. These include random walks in a dynamic background; the study of histograms (full distributions) of various observables and the formulation of systematic Grassmannian field theories for systems with strict volume constraints; and, finally, fundamental issues in the statistical mechanics of non-equilibrium steady states. %%% This is a renewal grant to two researchers to continue their program on driven diffusive systems: complex behavior of interacting many-particle systems which are driven into steady states far from thermal equilibrium. A combination of techniques will be used to study these systems including exact solutions and simulations on discrete lattice models, as well as analytic techniques on continuum field theories. These systems are relevant to such diverse applications as surface/crystal growth, intercalation, granular materials, fracture dynamics, gel electrophoresis, diffusion in complex environments, traffic flow, etc. ***

9727574 Zia这是对两名研究人员的更新资助，以继续他们的驱动扩散系统计划：相互作用的多粒子系统的复杂行为，这些系统被驱动到远离热平衡的稳定状态。 一个技术的组合将被用来研究这些系统，包括精确的解决方案和离散晶格模型的模拟，以及连续场理论的分析技术。 这些系统与表面/晶体生长、嵌入、颗粒材料、断裂动力学、凝胶电泳、复杂环境中的扩散、交通流等不同的应用有关。 第一部分的资助将集中在集体行为的驱动扩散晶格气体。 虽然最简单的模型是合理的理解，他们的许多概括，例如，倾斜边界条件、各向异性相互作用、极端纵横比或电荷不对称性提出了意想不到的挑战。 第二部分将侧重于新的方向。 这些包括随机游走在动态背景下;研究直方图（全分布）的各种观测和制定系统的格拉斯曼场理论的系统与严格的体积限制;最后，基本问题的统计力学的非平衡稳定状态。 这是对两名研究人员的更新资助，以继续他们的驱动扩散系统计划：相互作用的多粒子系统的复杂行为，这些系统被驱动到远离热平衡的稳定状态。 一个技术的组合将被用来研究这些系统，包括精确的解决方案和离散晶格模型的模拟，以及连续场理论的分析技术。 这些系统与表面/晶体生长、嵌入、颗粒材料、断裂动力学、凝胶电泳、复杂环境中的扩散、交通流等各种应用有关。*