Crystallization of self-propelled particles on a spherical substrate

作     者：Yan FANG Chen WANG Hongyuan JIANG 

作者机构：CAS Key Laboratory of Mechanical Behavior and Design of MaterialsHefei National Laboratory for Physical Science at the Microscale Department of Modern Mechanics University of Science and Technology of China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2019年第40卷第10期

页      面：1387-1398页

核心收录：

学科分类：08[工学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：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 the Strategic Priority Research Program of Chinese Academy of Sciences(No.XDB22040403) 

主　　题：self-prop elled particle freezing process geometric constraint defect 

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.