Isotropic-nematic transition in a mixture of hard spheres and hard spherocylinders: scaled particle theory description
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...
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| Date: | 2017 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2017
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/157023 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Isotropic-nematic transition in a mixture of hard spheres and hard spherocylinders: scaled particle theory description / M.F. Holovko, M.V. Hvozd // Condensed Matter Physics. — 2017. — Т. 20, № 4. — С. 43501: 1–11. — Бібліогр.: 46 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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. |
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