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

Dynamics of two polarized nanoparticles

Duan Xiao-Yong^{a b}, Wang Zhi-Guo^{a}

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

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.

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.

(Electrostatics; Poisson and Laplace equations, boundary-value problems)

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).

通讯作者:
Wang Zhi-Guo
E-mail: zgwang@tongji.edu.cn

引用本文:

段晓勇, 王治国. Dynamics of two polarized nanoparticles[J]. 中国物理B, 2015, 24(11): 118106-118106.
Duan Xiao-Yong, Wang Zhi-Guo. Dynamics of two polarized nanoparticles. Chin. Phys. B, 2015, 24(11): 118106-118106.