Numerical Simulations of Topological Defects in Liquid Crystals

液晶拓扑缺陷的数值模拟

• 批准号: 0131573
• 负责人: Robert Pelcovits
• 金额: $ 29.4万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-02-01 至 2005-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0131573&HistoricalAwards=false
• 关键词: Numerical; Simulations; Topological; Defects; Liquid

This award supports theoretical and computational research and education on topological defects in liquid crystals. The PI seeks to elucidate the structure and dynamics of topological defects in liquid crystals with the use of large-scale numerical simulations of phenomenological liquid models of liquid crystals. Topological defects will be created by molecular dynamics simulations of rapid quenches to ordered phases of systems consisting of 500,000 or more liquid crystalline molecules. A variety of methods will be used to locate defects, including finite element analysis and visualization techniques. Particular attention will be paid to the core structure of defects and the effects of hydrodynamic flow on the dynamics of the defects. Students will be trained in the arts of parallel programming, scientific simulation, and visualization.This award supports theoretical research and education on liquid crystals which are materials with properties intermediate between those of solids and liquids. They are important for technological applications such as display devices, and layered liquid crystalline structures are relevant to biological research on lipid bilayers. The phase diagrams of liquid crystalline materials are particularly rich, as is their topological defect structure. Topological defects play an important role in a range of condensed matter physics phenomena including equilibration processes, certain phase transitions, and confined systems. The PI seeks to elucidate the structure and dynamics of topological defects in liquid crystals with the use of large-scale numerical simulations of phenomenological liquid models of liquid crystals. Topological defects will be created by molecular dynamics simulations of rapid quenches to ordered phases of systems consisting of 500,000 or more liquid crystalline molecules. A variety of methods will be used to locate defects, including finite element analysis and visualization techniques. Particular attention will be paid to the core structure of defects and the effects of hydrodynamic flow on the dynamics of the defects. Students will be trained in the arts of parallel programming, scientific simulation, and visualization

该奖项支持液晶拓扑缺陷的理论和计算研究及教育。该 PI 旨在通过使用液晶唯象液体模型的大规模数值模拟来阐明液晶拓扑缺陷的结构和动力学。拓扑缺陷将通过对由 500,000 个或更多液晶分子组成的系统的有序相进行快速淬灭的分子动力学模拟来产生。将使用多种方法来定位缺陷，包括有限元分析和可视化技术。将特别关注缺陷的核心结构以及流体动力流对缺陷动力学的影响。学生将接受并行编程、科学模拟和可视化艺术方面的培训。该奖项支持液晶的理论研究和教育，液晶是一种性质介于固体和液体之间的材料。它们对于显示设备等技术应用非常重要，层状液晶结构与脂质双层的生物学研究相关。液晶材料的相图及其拓扑缺陷结构特别丰富。拓扑缺陷在一系列凝聚态物理现象中发挥着重要作用，包括平衡过程、某些相变和受限系统。该 PI 旨在通过使用液晶唯象液体模型的大规模数值模拟来阐明液晶拓扑缺陷的结构和动力学。拓扑缺陷将通过对由 500,000 个或更多液晶分子组成的系统的有序相进行快速淬灭的分子动力学模拟来产生。将使用多种方法来定位缺陷，包括有限元分析和可视化技术。将特别关注缺陷的核心结构以及流体动力流对缺陷动力学的影响。学生将接受并行编程、科学模拟和可视化艺术的培训