中国物理B ›› 2007, Vol. 16 ›› Issue (10): 3138-3145.doi: 10.1088/1009-1963/16/10/054

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Brownian dynamics simulation of two confined colloidal particles

李卫华1, 杨 涛2, 马红孺2, 张磬兰3, 何冬慧4   

  1. (1)Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, L8S 4M1, Canada; (2)Institute of Theoretical Physics, Shanghai Jiao Tong University, Shanghai 200240, China; (3)School of Physics and Electrical Information Science, Ningxia University, Yinchuan 750021, China; (4)School of Physics and Engineering, Sun Yat-sen University, Guangzhou 510275, China
  • 收稿日期:2006-12-24 修回日期:2007-04-12 出版日期:2007-10-08 发布日期:2007-10-08
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10174041 and 10334020).

Brownian dynamics simulation of two confined colloidal particles

He Dong-Hui(何冬慧)a)†,Yang Tao(杨涛)b), Li Wei-Hua(李卫华)c), Zhang Qing-Lan(张磬兰)d), and Ma Hong-Ru(马红孺)b)   

  1. a School of Physics and Engineering, Sun Yat-sen University, Guangzhou 510275, China; b Institute of Theoretical Physics, Shanghai Jiao Tong University, Shanghai 200240, China; c Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, L8S 4M1, Canada; d School of Physics and Electrical Information Science, Ningxia University, Yinchuan 750021, China
  • Received:2006-12-24 Revised:2007-04-12 Online:2007-10-08 Published:2007-10-08
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10174041 and 10334020).

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摘要： The dynamics of two confined colloidal particles is studied by means of Brownian dynamics simulation. The autocorrelation function and cross-correlation function of the two colloidal spheres are computed by utilizing the formulae of hydrodynamic diffusion matrix expanded to different orders, as well as the accurate tensor through numerical algorithm. Furthermore, the numerical results are compared with the experimental results and the theoretical approximation. It is found that the relatively simple theoretical approximation gives good predictions when two spheres are far away from each other, but fails when the two spheres are very close.

关键词: Brownian dynamics simulation, hydrodynamics interaction, Oseen tensor, Rotne--Prager tensor

Abstract: The dynamics of two confined colloidal particles is studied by means of Brownian dynamics simulation. The autocorrelation function and cross-correlation function of the two colloidal spheres are computed by utilizing the formulae of hydrodynamic diffusion matrix expanded to different orders, as well as the accurate tensor through numerical algorithm. Furthermore, the numerical results are compared with the experimental results and the theoretical approximation. It is found that the relatively simple theoretical approximation gives good predictions when two spheres are far away from each other, but fails when the two spheres are very close.

Key words: Brownian dynamics simulation, hydrodynamics interaction, Oseen tensor, Rotne--Prager tensor

中图分类号:  (Colloids)

  • 82.70.Dd
47.57.J- (Colloidal systems) 47.57.eb (Diffusion and aggregation)