中国物理B ›› 2008, Vol. 17 ›› Issue (10): 3812-3821.doi: 10.1088/1674-1056/17/10/046

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Bridge density functional approximation for non-uniform hard core repulsive Yukawa fluid

周世琦   

  1. School of Physics Science and Technology, Central South University, Changsha 412008, China
  • 收稿日期:2007-07-06 出版日期:2008-10-20 发布日期:2008-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 20673150).

Bridge density functional approximation for non-uniform hard core repulsive Yukawa fluid

Zhou Shi-Qi(周世琦)   

  1. School of Physics Science and Technology, Central South University, Changsha 412008, China
  • Received:2007-07-06 Online:2008-10-20 Published:2008-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 20673150).

摘要: In this work, a bridge density functional approximation (BDFA) (\wx{J. Chem. Phys.} 112, 8079 (2000)) for a non-uniform hard-sphere fluid is extended to a non-uniform hard-core repulsive Yukawa (HCRY) fluid. It is found that the choice of a bulk bridge functional approximation is crucial for both a uniform HCRY fluid and a non-uniform HCRY fluid. A new bridge functional approximation is proposed, which can accurately predict the radial distribution function of the bulk HCRY fluid. With the new bridge functional approximation and its associated bulk second order direct correlation function as input, the BDFA can be used to well calculate the density profile of the HCRY fluid subjected to the influence of varying external fields, and the theoretical predictions are in good agreement with the corresponding simulation data. The calculated results indicate that the present BDFA captures quantitatively the phenomena such as the coexistence of solid-like high density phase and low density gas phase, and the adsorption properties of the HCRY fluid, which qualitatively differ from those of the fluids combining both hard-core repulsion and an attractive tail.

关键词: bridge density functional approximation, radial distribution function, colloid, density distribution

Abstract: In this work, a bridge density functional approximation (BDFA) (J. Chem. Phys. 112, 8079 (2000)) for a non-uniform hard-sphere fluid is extended to a non-uniform hard-core repulsive Yukawa (HCRY) fluid. It is found that the choice of a bulk bridge functional approximation is crucial for both a uniform HCRY fluid and a non-uniform HCRY fluid. A new bridge functional approximation is proposed, which can accurately predict the radial distribution function of the bulk HCRY fluid. With the new bridge functional approximation and its associated bulk second order direct correlation function as input, the BDFA can be used to well calculate the density profile of the HCRY fluid subjected to the influence of varying external fields, and the theoretical predictions are in good agreement with the corresponding simulation data. The calculated results indicate that the present BDFA captures quantitatively the phenomena such as the coexistence of solid-like high density phase and low density gas phase, and the adsorption properties of the HCRY fluid, which qualitatively differ from those of the fluids combining both hard-core repulsion and an attractive tail.

Key words: bridge density functional approximation, radial distribution function, colloid, density distribution

中图分类号:  (Computational methods in fluid dynamics)

  • 47.11.-j
68.43.-h (Chemisorption/physisorption: adsorbates on surfaces) 47.57.J- (Colloidal systems) 82.70.Dd (Colloids)