中国物理B ›› 2023, Vol. 32 ›› Issue (7): 70501-070501.doi: 10.1088/1674-1056/accd4d

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Transition from isotropic to polar state of self-driven eccentric disks

Jinghan Wang(王静晗), Tianliang Xu(许天亮), Jingxi He(何景熙), Kang Chen(陈康), and Wende Tian(田文得)   

  1. Center for Soft Condensed Matter Physics&Interdisciplinary Research, School of Physical Science and Technology, Soochow University, Suzhou 215006, China
  • 收稿日期:2023-03-07 修回日期:2023-03-30 接受日期:2023-04-16 出版日期:2023-06-15 发布日期:2023-07-10
  • 通讯作者: Kang Chen, Wende Tian E-mail:kangchen@suda.edu.cn;tianwende@suda.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 21674078, 21774091, and 21574096).

Transition from isotropic to polar state of self-driven eccentric disks

Jinghan Wang(王静晗), Tianliang Xu(许天亮), Jingxi He(何景熙), Kang Chen(陈康), and Wende Tian(田文得)   

  1. Center for Soft Condensed Matter Physics&Interdisciplinary Research, School of Physical Science and Technology, Soochow University, Suzhou 215006, China
  • Received:2023-03-07 Revised:2023-03-30 Accepted:2023-04-16 Online:2023-06-15 Published:2023-07-10
  • Contact: Kang Chen, Wende Tian E-mail:kangchen@suda.edu.cn;tianwende@suda.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 21674078, 21774091, and 21574096).

摘要: Inspired by the eccentricity design of self-driven disks, we propose a computational model to study the remarkable behavior of this kind of active matter via Langevin dynamics simulations. We pay attention to the effect of rotational friction coefficient and rotational noise on the phase behavior. A homogeneous system without rotational noise exhibits a sharp discontinuous transition of orientational order from an isotropic to a polar state with the increase of rotational friction coefficient. When there is rotational noise, the transition becomes continuous. The formation of polar state originates from the effective alignment effect due to the mutual coupling of the positional and orientational degrees of freedom of each disk. The rotational noise could weaken the alignment effect and cause the large spatial density inhomogeneity, while the translational noise homogenizes the system. Our model makes further conceptual progress on how the microscopic interaction among self-driven agents yields effective alignment.

关键词: eccentric disk, Langevin dynamics, polar order, alignment effect

Abstract: Inspired by the eccentricity design of self-driven disks, we propose a computational model to study the remarkable behavior of this kind of active matter via Langevin dynamics simulations. We pay attention to the effect of rotational friction coefficient and rotational noise on the phase behavior. A homogeneous system without rotational noise exhibits a sharp discontinuous transition of orientational order from an isotropic to a polar state with the increase of rotational friction coefficient. When there is rotational noise, the transition becomes continuous. The formation of polar state originates from the effective alignment effect due to the mutual coupling of the positional and orientational degrees of freedom of each disk. The rotational noise could weaken the alignment effect and cause the large spatial density inhomogeneity, while the translational noise homogenizes the system. Our model makes further conceptual progress on how the microscopic interaction among self-driven agents yields effective alignment.

Key words: eccentric disk, Langevin dynamics, polar order, alignment effect

中图分类号:  (Fluctuation phenomena, random processes, noise, and Brownian motion)

  • 05.40.-a
64.60.Cn (Order-disorder transformations) 05.10.Gg (Stochastic analysis methods)