上海大学学报(自然科学版) ›› 2024, Vol. 30 ›› Issue (5): 847-857.doi: 10.12066/j.issn.1007-2861.2520

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周期纳米颗粒阵列中聚合物链扩散行为的耗散粒子动力学模拟

胡江林1,2,3 , 陆 钰1,2,3 , 胡国辉1,2,3   

  1. 1. 上海大学 力学与工程科学学院, 上海 200444; 2. 上海大学 上海市应用数学和力学研究所, 上海 200072; 3. 上海大学 上海市能源工程力学重点实验室, 上海 200444
  • 出版日期:2024-10-30 发布日期:2024-11-07
  • 通讯作者: 胡国辉 (1969—), 男, 教授, 博士生导师, 博士, 研究方向为微纳尺度流体力学、流动稳定性等. E-mail:ghhu@staff.shu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目 (12172209, 11832017)

Diffusion behavior of polymer chain in a periodic nanoparticle array: a dissipative particle dynamics simulation

HU Jianglin1,2,3 , LU Yu1,2,3 , HU Guohui1,2,3   

  1. 1. School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China; 2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; 3. Shanghai Key Laboratory of Energy Engineering Mechanics, Shanghai University, Shanghai 200444, China
  • Online:2024-10-30 Published:2024-11-07

摘要: 聚合物纳米复合材料 (polymer nanocomposite, PNC) 因其兼具纳米颗粒 (nanoparticle, NP) 和聚合物的性质而展现出较好的力学性能, 目前在材料领域和软物质科学研究中广受关注. 由于聚合物在多尺度动力学特征方面研究的困难性, 故预测聚合物在聚合物纳米复合材料中的扩散行为是一个亟待解决的问题. 采用耗散粒子动力学 (dissipative particle dynamics, DPD) 方法模拟了不同链长的聚合物在聚合物纳米复合材料中的扩散过程, 并用一个关键的无量纲约束系数 χ, 即聚合物链首末端距离 Lee 与有效自由扩散长度 Lf 的比值, 对聚合物链的扩散行为进行刻画. 通过分析纳米颗粒的浓度、聚合物链的长度和聚合物纳米颗粒之间的相互作用对聚合物扩散的影响, 提出了聚合物链的有效扩散率关于约束系数 χ 的标度率, 并证实该标度关系可以准确预测低约束系数 χ 时的模拟结果. 该工作对聚合物纳米复合材料的理论发展和应用研究有着一定的指导意义.

关键词: 聚合物纳米复合材料, 耗散粒子动力学, 有效扩散率

Abstract: Polymer nanocomposites (PNCs) have shown excellent mechanical properties owing to their combinations of nanoparticle (NP) and polymer properties, and they are now of significant interest in the fields of materials and soft matter science. Considering the difficulties in determining their multiscale dynamic characteristics, predicting the diffusion behaviors of polymers in polymer nanocomposites remains an open problem. In this study, the diffusion processes of polymers with different chain lengths in PNCs are numerically simulated via the dissipative particle dynamics (DPD) method, and the diffusion behaviors of polymer chains are described by a key dimensionless constraint factor χ, which is the ratio of the distance Lee from the first end of the polymer chain to the effective free diffusion length Lf. By analyzing the effects of the concentration of NPs, the lengths of polymer chains, and the interactions between polymer NPs on polymer diffusion, a scaling rate for the effective diffusivity of polymer chains is proposed with respect to the confinement factor χ, and it is confirmed that this scaling law can accurately predict the numerical results with a low confinement factor χ. This study provides a guide for the theoretical development and application of PNCs.

Key words: polymeric nanocomposite (PNC), dissipative particle dynamics (DPD); effective diffusivity

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