中国物理B ›› 2015, Vol. 24 ›› Issue (11): 118106-118106.doi: 10.1088/1674-1056/24/11/118106

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

Dynamics of two polarized nanoparticles

段晓勇a b, 王治国a   

  1. a School of Physics Science and Engineering, Tongji University, Shanghai 200092, China;
    b School of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing 314001, China
  • 收稿日期:2015-04-09 修回日期:2015-07-05 出版日期:2015-11-05 发布日期:2015-11-05
  • 通讯作者: Wang Zhi-Guo E-mail:zgwang@tongji.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 11174222) and the National Basic Research Program of China (Grant No. 2011CB922203).

Dynamics of two polarized nanoparticles

Duan Xiao-Yong (段晓勇)a b, Wang Zhi-Guo (王治国)a   

  1. a School of Physics Science and Engineering, Tongji University, Shanghai 200092, China;
    b School of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing 314001, China
  • Received:2015-04-09 Revised:2015-07-05 Online:2015-11-05 Published:2015-11-05
  • Contact: Wang Zhi-Guo E-mail:zgwang@tongji.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 11174222) and the National Basic Research Program of China (Grant No. 2011CB922203).

摘要:

The intrinsic dynamics of two interacting electric polarized nanorods is theoretically investigated. The relative motion between them caused by electric dipole-dipole interaction is derived based on the generalized Lagrangian formulation. The results show that the relative translation and rotation are nonlinear and closely dependent on the initial configuration of the two nanorods. Furthermore, the general conditions of the initial configuration, which determine the two nanorods to repel or attract each other at the initial time, are obtained. The two-dimensional relative motion of the two nanorods shows that the antiparallel and head-to-tail ordering stable self-assembly are respectively formed in two planar initial configurations. For different three-dimensional initial configurations, the interesting dynamic relative attraction, repulsion, and oscillation with rotation are respectively realized. Finally, the theoretical schemes which realize the relaxing, direct head-to-tail ordering, and direct antiparallel ordering stable self-assembly are presented according to the different modes of the motion of the nanoparticles. Some of our results agree well with the results of experiments and simulations.

关键词: dynamic self-assembly, polarized nanoparticle, intrinsic dynamics, dipole-dipole interaction

Abstract:

The intrinsic dynamics of two interacting electric polarized nanorods is theoretically investigated. The relative motion between them caused by electric dipole-dipole interaction is derived based on the generalized Lagrangian formulation. The results show that the relative translation and rotation are nonlinear and closely dependent on the initial configuration of the two nanorods. Furthermore, the general conditions of the initial configuration, which determine the two nanorods to repel or attract each other at the initial time, are obtained. The two-dimensional relative motion of the two nanorods shows that the antiparallel and head-to-tail ordering stable self-assembly are respectively formed in two planar initial configurations. For different three-dimensional initial configurations, the interesting dynamic relative attraction, repulsion, and oscillation with rotation are respectively realized. Finally, the theoretical schemes which realize the relaxing, direct head-to-tail ordering, and direct antiparallel ordering stable self-assembly are presented according to the different modes of the motion of the nanoparticles. Some of our results agree well with the results of experiments and simulations.

Key words: dynamic self-assembly, polarized nanoparticle, intrinsic dynamics, dipole-dipole interaction

中图分类号:  (Self-assembly)

  • 81.16.Dn
45.20.Jj (Lagrangian and Hamiltonian mechanics) 41.20.Cv (Electrostatics; Poisson and Laplace equations, boundary-value problems)