Journal of Statistical Physics

, Volume 26, Issue 3, pp 513–525 | Cite as

On the relationship between the density functional formalism and the potential distribution theory for nonuniform fluids

  • A. Robledo
  • C. Varea


It is shown that the variational principle for the grand potential of a nonuniform fluid as a functional of the singlet density yields the potential distribution theory for the equilibrium density. We derive the explicit form that the functional takes for a system of hard rods, and propose an approximate one for hard spheres. Attractive interactions are also considered in mean-field approximation. In all cases the pair direct correlation function of the nonuniform system is obtained and the density gradient expansion of the free energy is investigated.

Key words

Density functionals potential distribution theory nonuniform fluids 


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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • A. Robledo
    • 1
  • C. Varea
    • 1
  1. 1.División de Estudios de Posgrado, Facultad de QuímicaUniversidad Nacional Autónoma de MéxicoMéxico 20, D.F.

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