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Density functional for additive mixtures

Schmidt1

  • 1Institut fur Theoretische Physik II, Heinrich-Heine-Universitat Dusseldorf, Universitatsstrasse 1, D-40225 Dusseldorf, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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We developed a new density functional theory for particle mixtures with specific interaction rules. This theory accurately predicts the structure of fluid mixtures, like colloidal hard spheres and star polymers.

Area of Science:

  • Statistical Mechanics
  • Physical Chemistry
  • Computational Physics

Background:

  • Developing accurate theoretical models for particle mixtures is crucial for understanding their behavior.
  • Existing theories often struggle with systems involving both soft and hard interactions or complex cross-species interactions.

Purpose of the Study:

  • To introduce a novel density functional theory (DFT) for mixtures of particles with radially symmetric potentials.
  • To generalize the soft fundamental measure theory (SFMT) for multicomponent systems.
  • To provide a theoretical framework that respects known physical limits and expansions.

Main Methods:

  • Formulated a DFT for mixtures with an additivity constraint on cross interactions.
  • Extended the soft fundamental measure theory (SFMT) to handle mixture interactions.

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  • Ensured the theory's consistency with zero-dimensional limits and virial expansions.
  • Main Results:

    • The developed DFT accurately models systems with soft or hard interactions between like particles.
    • The theory reproduces Rosenfeld's functional for hard sphere mixtures.
    • Calculated pair distributions for colloidal hard spheres and star polymer mixtures, showing good agreement with simulations.

    Conclusions:

    • The new DFT provides a robust framework for studying particle mixtures.
    • The theory's applicability is demonstrated through successful prediction of colloidal mixture behavior.
    • This approach offers a valuable tool for theoretical and computational studies of complex fluid systems.