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Weighted-density approximation for general nonuniform fluid mixtures.

R L Davidchack1, B B Laird

  • 1Department of Chemistry and Kansas Institute for Theoretical and Computational Science, University of Kansas, Lawrence, Kansas 66045, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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We developed a new density-functional theory for fluid mixtures, improving upon existing models for complex systems like solid-fluid interfaces. This advanced theory accurately predicts phase diagrams for binary hard-sphere fluids.

Area of Science:

  • Statistical Mechanics
  • Physical Chemistry
  • Materials Science

Background:

  • Developing accurate density-functional theories (DFT) for nonuniform fluid mixtures is crucial for understanding complex systems.
  • Existing extensions of the weighted-density approximation (WDA) have limitations, particularly for systems with spatially varying composition.

Purpose of the Study:

  • To propose a generalized DFT for multicomponent nonuniform fluid mixtures.
  • To address deficiencies in prior extensions of the WDA, enabling application to systems like solid-fluid interfaces.

Main Methods:

  • Extension of the weighted-density approximation (WDA) to multicomponent systems.
  • Application of the proposed functional to calculate the freezing phase diagram of a binary hard-sphere fluid.

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Main Results:

  • The proposed functional overcomes limitations of the Denton-Ashcroft extension for spatially varying compositions.
  • Accurate prediction of the freezing phase diagram for a binary hard-sphere fluid was achieved.

Conclusions:

  • The developed DFT provides a more general and accurate framework for nonuniform fluid mixtures.
  • The improved functional is suitable for studying complex interfaces and phase behavior in multicomponent systems.