Crystallization of self-propelled particles on a spherical substrate

doi:10.1007/s10483-019-2525-8

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (10): 1387-1398.doi: https://doi.org/10.1007/s10483-019-2525-8

Crystallization of self-propelled particles on a spherical substrate

Yan FANG, Chen WANG, Hongyuan JIANG

CAS Key Laboratory of Mechanical Behavior and Design of Materials, Hefei National Laboratory for Physical Science at the Microscale, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China

收稿日期:2019-02-22 修回日期:2019-05-10 出版日期:2019-10-01 发布日期:2019-09-17
通讯作者: Hongyuan JIANG E-mail:jianghy@ustc.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11622222, 11472271, and 11872357), the Thousand Young Talents Program of China, the Fundamental Research Fund for the Central Universities, and the Strategic Priority Research Program of Chinese Academy of Sciences (No. XDB22040403)

Crystallization of self-propelled particles on a spherical substrate

Yan FANG, Chen WANG, Hongyuan JIANG

CAS Key Laboratory of Mechanical Behavior and Design of Materials, Hefei National Laboratory for Physical Science at the Microscale, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China

Received:2019-02-22 Revised:2019-05-10 Online:2019-10-01 Published:2019-09-17
Contact: Hongyuan JIANG E-mail:jianghy@ustc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11622222, 11472271, and 11872357), the Thousand Young Talents Program of China, the Fundamental Research Fund for the Central Universities, and the Strategic Priority Research Program of Chinese Academy of Sciences (No. XDB22040403)

摘要/Abstract

摘要： In this paper, we investigate the self-propelled particles confined on a spherical substrate and explore the structural and dynamic properties of self-propelled particles by controlling the packing fraction and activity. We find that these self-propelled particles freeze into the crystal with the increase in the packing fraction. We observe the pattern evolution of inevitable topological defects due to the geometric constraints of the spherical substrate. During the process of freezing, there is a transition from twelve isolated grain boundaries to the uniform distribution of defects with the increase in the self-propelled velocity. Finally, we establish a phase diagram of the freezing process. These results may deepen our understanding of active particles in complex and crowded environments.

关键词: self-propelled particle, freezing process, geometric constraint, defect

Abstract: In this paper, we investigate the self-propelled particles confined on a spherical substrate and explore the structural and dynamic properties of self-propelled particles by controlling the packing fraction and activity. We find that these self-propelled particles freeze into the crystal with the increase in the packing fraction. We observe the pattern evolution of inevitable topological defects due to the geometric constraints of the spherical substrate. During the process of freezing, there is a transition from twelve isolated grain boundaries to the uniform distribution of defects with the increase in the self-propelled velocity. Finally, we establish a phase diagram of the freezing process. These results may deepen our understanding of active particles in complex and crowded environments.

Key words: self-propelled particle, freezing process, geometric constraint, defect

中图分类号:

Yan FANG, Chen WANG, Hongyuan JIANG. Crystallization of self-propelled particles on a spherical substrate[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(10): 1387-1398.

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Crystallization of self-propelled particles on a spherical substrate

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