The statistical mechanics of lattice paths and lattice walk models of polymers

聚合物晶格路径和晶格行走模型的统计力学

• 批准号: 122237-2008
• 负责人: JansevanRensburg, Esaias
• 金额: $ 1.64万
• 依托单位: York University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=522272
• 关键词: statistical; mechanics; lattice; paths; walk

A popular model of a linear polymer is a self-avoiding walk on a lattice (such as the square grid). This model is related combinatorial models of directed and partially directed paths. Such walk and path models are able to mimic the conformational degrees of a freedom of a linear polymer; these degrees of freedom make an important contribution to the free energy of the polymer and determines some of its physical and chemical properties. Lattice walks and paths are also related to classical model in combinatorics.

线性聚合物的一种流行模型是在晶格(如正方形网格)上自避免行走。该模型是有向路径和部分有向路径的相关组合模型。这种行走和路径模型能够模拟线性聚合物的构象自由度；这些自由度对聚合物的自由能有重要贡献，并决定了它的一些物理和化学性质。格子行走和路径也与组合学中的经典模型有关。