Quenched-annealed density functional theory for interfacial behavior of hard rods at a hard rod matrix

David Cheung, Matthias Schmidt

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Abstract

We consider a system of mobile hard rods that are immersed in an isotropic matrix of hard rods with quenched positions and orientations. Using quenched-annealed density functional theory the disorder-averaged excess free energy functional is approximated by an Onsager second virial form, which is valid in the limit of large length-to-thickness aspect ratio of the particles. We find that inside the bulk isotropic matrices the isotropic-nematic phase transition occurs at higher values of the chemical potential than in the pure system, shifted proportionally to the product of the matrix density and the matrix-fluid excluded volume. We investigate adsorption and penetration behavior of the annealed rods at the planar surface of a porous rod matrix, considering both perpendicular and parallel boundary conditions of the nematic director far from the surface.
Original languageEnglish
Article number214705
Number of pages7
JournalJournal of Chemical Physics
Volume131
Issue number21
DOIs
Publication statusPublished - 7 Dec 2009

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Keywords

  • quenched-annealed density
  • functional theory
  • interfacial behavior
  • hard rods
  • hard rod matrix

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