中国物理B ›› 2018, Vol. 27 ›› Issue (8): 88203-088203.doi: 10.1088/1674-1056/27/8/088203

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Molecular dynamics simulations on the dynamics of two-dimensional rounded squares

Zhang-lin Hou(侯章林), Ying Ju(句颖), Yi-wu Zong(宗奕吾), Fang-fu Ye(叶方富), Kun Zhao(赵坤)   

  1. 1 Key Laboratory of Systems Bioengineering(Ministry of Education), School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China;
    2 Beijing National Laboratory for Condensed Matter Physics and Key Laboratory of Soft Matter Physics of Chinese Academy of Sciences, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2018-04-30 修回日期:2018-06-05 出版日期:2018-08-05 发布日期:2018-08-05
  • 通讯作者: Fang-fu Ye, Kun Zhao E-mail:fye@iphy.ac.cn;kunzhao@tju.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 21573159 and 21621004).

Molecular dynamics simulations on the dynamics of two-dimensional rounded squares

Zhang-lin Hou(侯章林)1, Ying Ju(句颖)1, Yi-wu Zong(宗奕吾)1, Fang-fu Ye(叶方富)2, Kun Zhao(赵坤)1   

  1. 1 Key Laboratory of Systems Bioengineering(Ministry of Education), School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China;
    2 Beijing National Laboratory for Condensed Matter Physics and Key Laboratory of Soft Matter Physics of Chinese Academy of Sciences, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2018-04-30 Revised:2018-06-05 Online:2018-08-05 Published:2018-08-05
  • Contact: Fang-fu Ye, Kun Zhao E-mail:fye@iphy.ac.cn;kunzhao@tju.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 21573159 and 21621004).

摘要:

The collective motion of rounded squares with different corner-roundness ζ is studied by molecular dynamics (MD) simulation in this work. Three types of translational collective motion pattern are observed, including gliding, hopping and a mixture of gliding and hopping. Quantitatively, the dynamics of each observed ordered phase is characterized by both mean square displacement and van Hove functions for both translation and rotation. The effect of corner-roundness on the dynamics is further studied by comparing the dynamics of the rhombic crystal phases formed by different corner-rounded particles at a same surface fraction. The results show that as ζ increases from 0.286 to 0.667, the translational collective motion of particles changes from a gliding-dominant pattern to a hopping-dominant pattern, whereas the rotational motion pattern is hopping-like and does not change in its type, but the rotational hopping becomes much more frequent as ζ increases (i.e., as particles become more rounded). A simple geometrical model is proposed to explain the trend of gliding motion observed in MD simulations.

关键词: molecular dynamics simulation, rounded square, hopping, gliding, collective motion

Abstract:

The collective motion of rounded squares with different corner-roundness ζ is studied by molecular dynamics (MD) simulation in this work. Three types of translational collective motion pattern are observed, including gliding, hopping and a mixture of gliding and hopping. Quantitatively, the dynamics of each observed ordered phase is characterized by both mean square displacement and van Hove functions for both translation and rotation. The effect of corner-roundness on the dynamics is further studied by comparing the dynamics of the rhombic crystal phases formed by different corner-rounded particles at a same surface fraction. The results show that as ζ increases from 0.286 to 0.667, the translational collective motion of particles changes from a gliding-dominant pattern to a hopping-dominant pattern, whereas the rotational motion pattern is hopping-like and does not change in its type, but the rotational hopping becomes much more frequent as ζ increases (i.e., as particles become more rounded). A simple geometrical model is proposed to explain the trend of gliding motion observed in MD simulations.

Key words: molecular dynamics simulation, rounded square, hopping, gliding, collective motion

中图分类号:  (Colloids)

  • 82.70.Dd
64.75.Yz (Self-assembly)