Condensed Matter Physics, 2017, vol. 20, No. 4, 43501
DOI:10.5488/CMP.20.43501
arXiv:1712.05330
Title:
Isotropicnematic transition in a 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 a mixture of hard spheres and hard spherocylinders. Analytical expressions for free energy, pressure and
chemical potentials are derived. From the minimization of free energy, a nonlinear integral equation for the orientational singlet distribution function is formulated. An isotropicnematic phase transition
in this mixture is investigated from the bifurcation analysis of this equation. It is shown that with an increase of 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 sphere/hard spherocylinder mixture, isotropicnematic transition, scaled particle theory
PACS:
51.30.+i, 64.70.Md
