Interplay of Topology and Geometry in Polymeric Critical Phenomena

聚合物临界现象中拓扑和几何的相互作用

• 批准号: DP160103562
• 负责人: Prof Aleksander Owczarek
• 金额: $ 23.41万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2016
• 资助国家: 澳大利亚
• 起止时间: 2016-06-01 至 2020-01-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP160103562
• 关键词: Interplay; Topology; Geometry; Polymeric; Critical

This project aims to develop new understanding of key topologically driven behaviour in complex polymers such as DNA. The mathematical modelling of the rich geometric behaviour of long-chain polymers and how they change their shape in response to the environment has provided a framework for our understanding of these ubiquitous molecules. Complex polymers such as ring polymers and DNA display topological properties such as knotting and linking. Recent experiments twisting DNA demonstrate novel phenomena precipitated by the interplay of topological and geometric properties. Using advanced mathematical and computational techniques, the project aims to explain how topological constraints and changes disturb key polymer behaviour.

该项目旨在对 DNA 等复杂聚合物中的关键拓扑驱动行为产生新的理解。对长链聚合物丰富的几何行为以及它们如何响应环境而改变形状的数学建模为我们理解这些无处不在的分子提供了框架。环状聚合物和 DNA 等复杂聚合物表现出打结和连接等拓扑特性。最近扭曲 DNA 的实验证明了拓扑和几何特性相互作用所引发的新现象。该项目旨在利用先进的数学和计算技术来解释拓扑约束和变化如何干扰关键的聚合物行为。