Abstract
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 isotropic-nematic 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.
Highlights
A hard spherocylinder fluid is one of the simplest models widely used for the description of an isotropic-nematic phase transition in liquid crystals [1, 2]
In this paper we present a development of the scaled particle theory for the description of a binary mixture of hard spheres and hard spherocylinders
We use the theory presented in the previous section to study the effect of hard spheres on the isotropicnematic phase transition in a binary mixture of hard spheres and hard spherocylinders
Summary
A hard spherocylinder fluid is one of the simplest models widely used for the description of an isotropic-nematic phase transition in liquid crystals [1, 2]. During the last decades the approaches developed for a hard-spherocylinder fluid have been generalized for the description of mixtures of hard anisotropic particles. In such systems, new phases were observed and their properties were richer and more complicated than those for the one-component case [4, 15,16,17,18,19,20,21,22,23,24,25]. In this paper we present a development of the scaled particle theory for the description of a binary mixture of hard spheres and hard spherocylinders.
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