Condensed Matter Physics, 2017, vol. 20, No. 4, 43501

Title: Isotropic-nematic mixture of hard spheres and hard spherocylinders: scaled particle theory description
Author(s):
  M.F. Holovko (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine) ,
  M.V. Hvozd (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine)

The scaled particle theory is developed for the description of thermodynamical properties of the mixture of hard spheres and hard spherocylinders. The analytical expressions for the free energy, the pressure and chemical potentials are derived. From the minimization of the free energy the nonlinear integral equation for the orientational singlet distribution function is formulated. From the bifurcation analysis of this equation the isotropic-nematic phase transition in this mixture is investigated. It is shown that with increasing of a concentration of hard spheres the total packing fraction of a mixture on phase boundaries slightly increases. The obtained results are compared with computer simulations data.

Key words: hard spheres, hard spherocylinders, binary mixture, scaled particle theory, phase transition, nematic phase, chemical potentials
PACS: 51.30.+i, 64.70.Md


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