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: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=451666
• 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.

线性聚合物的流行模型是在晶格上进行自我避免行走（例如方格）。该模型是指向和部分定向路径的相关组合模型。 这样的步行和路径模型能够模仿线性聚合物自由的构象程度。这些自由度为聚合物的自由能做出了重要贡献，并确定了其某些物理和化学特性。 晶格步行和路径也与组合学中的古典模型有关。