• Calculation of the density profile of a system of hard spheres near a hard wall using the Henderson-Plischke and related approximations

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/jcsc/097/03-04/0297-0305

    • Keywords

       

      Density profile; Born-Green equation; Henderson-Plischke approximation; hard sphere/hard wall system

    • Abstract

       

      The first Born-Green equation for an inhomogeneous fluid, which relates the density profile and an integral of the pair distribution of the fluid, is solved for the particular case of a system of hard spheres near a hard wall. The recent approximation of Henderson and Plischke, which is constructed from the Kirkwood superposition approximation and the Percus shielding approximation, is used for the pair distribution function. The results for the density profile are in reasonably good agreement with Monte Carlo simulations; they are very good near the wall but at larger distances are slightly worse than earlier analytic results obtained from the less sophisticated singlet theory which does not involve the inhomogeneous fluid pair correlation function.

    • Author Affiliations

       

      Douglas Henderson1 Michael Plischke1 2

      1. IBM Almaden Research Center, 650 Harry Road, San Jose, California - 95120-6099, USA
      2. Department of Physics, Simon Fraser University, Burnaby, BC - V5A 1S6, Canada
    • Dates

       
  • Journal of Chemical Sciences | News

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