Condensed Matter Physics, 2016, vol. 19, No. 1, 13608
DOI:10.5488/CMP.19.13608           arXiv:1603.02186

Title: Maier-Saupe nematogenic fluid with isotropic Yukawa repulsion at a hard wall: Mean field approximation
Author(s):
  M. Holovko ( Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine ) ,
  T. Patsahan ( Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine ) ,
  I. Kravtsiv ( Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine ) ,
  D. di Caprio ( Institute of Research of Chimie Paris, CNRS - Chimie ParisTech, 11, rue P. et M. Curie, 75005 Paris, France)

The mean field approximation is formulated within the framework of the density field theory to study the properties of a Maier-Saupe nematogenic fluid near a hard wall. The density and the order parameter profiles are obtained using the analytical expressions derived in the linearized mean field approximation. The temperature dependencies of the contact values of the density and order parameter profiles are analyzed in detail. To estimate a validity of the applied approximations, the obtained theoretical results are compared with the original computer simulation data.

Key words: Maier-Saupe nematogenic fluid, field theory, interface, hard wall, contact theorem,
PACS: 61.30.Gd, 68.08.-p, 61.30.Hn


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