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

doi:10.1088/1674-1056/27/8/088203

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.

Keywords: molecular dynamics simulation rounded square hopping gliding collective motion

Received: 30 April 2018
Revised: 05 June 2018
Accepted manuscript online:

PACS:	82.70.Dd	(Colloids)
	64.75.Yz	(Self-assembly)

Fund:

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

Corresponding Authors: Fang-fu Ye, Kun Zhao
E-mail: fye@iphy.ac.cn;kunzhao@tju.edu.cn

Cite this article:

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) Molecular dynamics simulations on the dynamics of two-dimensional rounded squares 2018 Chin. Phys. B 27 088203

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