Statistical Mechanics of Interfaces and Driven Systems

接口和驱动系统的统计力学

• 批准号: 9119102
• 负责人: Royce K Zia
• 金额: $ 33万
• 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: 1992
• 资助国家: 美国
• 起止时间: 1992-01-01 至 1995-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9119102&HistoricalAwards=false
• 关键词: Statistical; Mechanics; Interfaces; Driven; Systems

Theoretical research will continue on the study of interfaces and non-equilibrium systems driven to steady states by an external field. In an ongoing exploration of bulk singularities in driven systems, multi-point correlations will be investigated in models with a uniform drive, annealed random drives, repulsive interactions, and many species. Another area of study involves the interfaces in driven systems. Particularly, the effects of driving on roughening will be studied and selection mechanisms for the variety of bulk phases induced by different boundary conditions will be investigated. Additional studies will be undertaken on the interplay between bulk and interfacial fluctuations; morphological transitions due to curvature dominated closed membranes; and, conceptual questions associated with capillary wave theory. Long term projects include a thorough analysis of finite size effects and quenched impurities in driven systems, a wider class of competing dynamical models and applications to a variety of other related phenomena. %%%

理论研究将继续研究由外场驱动达到稳态的界面和非平衡系统。 在对驱动系统中整体奇点的持续探索中，将在具有均匀驱动、退火随机驱动、排斥相互作用和许多物种的模型中研究多点相关性。 另一个研究领域涉及驱动系统中的接口。 特别是，将研究驱动对粗糙化的影响，并研究不同边界条件引起的各种体相的选择机制。 将针对整体波动和界面波动之间的相互作用进行更多研究；由于曲率主导的封闭膜导致形态转变；以及与毛细波理论相关的概念问题。 长期项目包括对驱动系统中的有限尺寸效应和淬火杂质的彻底分析、更广泛的竞争动力学模型以及对各种其他相关现象的应用。 %%%