Condensed Matter Physics, 2010, vol. 13, No. 2, p. 23607:1-7
DOI:10.5488/CMP.13.23607

Title: Analytical theory of one- and two-dimensional hard sphere fluids in random porous media
Author(s):
  M.F. Holovko (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) ,
  V.I. Shmotolokha (Physico-Mechanical Institute of the National Academy of Sciences of Ukraine, 5 Naukova Str., 79601 Lviv, Ukraine) ,
  W. Dong (Ecole Normale Superiere de Lyon, 46 Allee d' Italie, 69364 Lyon, Cedex 07, France)

The recently proposed scaled particle theory SPT2 approach to the description of three-dimensional hard sphere fluids in random porous media is extended for one- and two-dimensional cases. Analytical expressions for the chemical potential and pressure of one- and two-dimensional hard sphere fluids in hard sphere and overlapping hard sphere matrices are obtained and discussed. Some improvements and modifications of the obtained results are proposed.

Key words: confined fluids, porous materials, scaled particle theory
PACS: 61.20.Gy, 61.43.Gy


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