Density functional theory for dense nematic liquid crystals with steric interactions
The celebrated work of Onsager on hard particle systems, based on the truncated second order virial expansion, is valid at relatively low volume fractions for large aspect ratio particles. While it predicts the isotropic-nematic phase transition, it does not provide a realistic equation of state in...
| Huvudupphovsmän: | , , , , |
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| Materialtyp: | Journal article |
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American Physical Society
2017
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| _version_ | 1826288694694248448 |
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| author | Nascimento, E Palffy-Muhoray, P Taylor, J Virga, E Zheng, X |
| author_facet | Nascimento, E Palffy-Muhoray, P Taylor, J Virga, E Zheng, X |
| author_sort | Nascimento, E |
| collection | OXFORD |
| description | The celebrated work of Onsager on hard particle systems, based on the truncated second order virial expansion, is valid at relatively low volume fractions for large aspect ratio particles. While it predicts the isotropic-nematic phase transition, it does not provide a realistic equation of state in that the pressure remains finite for arbitrarily high densities. In this work, we derive a mean field density functional form of the Helmholtz free energy for nematics with hard core repulsion. In addition to predicting the isotropic-nematic transition, the model provides a more realistic equation of state. The energy landscape is much richer, and the orientational probability distribution function in the nematic phase possesses a unique feature—it vanishes on a nonzero measure set in orientation space. |
| first_indexed | 2024-03-07T02:17:35Z |
| format | Journal article |
| id | oxford-uuid:a2cb0e92-bad3-40c3-a31d-6111e81be2b9 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:17:35Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:a2cb0e92-bad3-40c3-a31d-6111e81be2b92022-03-27T02:22:25ZDensity functional theory for dense nematic liquid crystals with steric interactionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a2cb0e92-bad3-40c3-a31d-6111e81be2b9Symplectic Elements at OxfordAmerican Physical Society2017Nascimento, EPalffy-Muhoray, PTaylor, JVirga, EZheng, XThe celebrated work of Onsager on hard particle systems, based on the truncated second order virial expansion, is valid at relatively low volume fractions for large aspect ratio particles. While it predicts the isotropic-nematic phase transition, it does not provide a realistic equation of state in that the pressure remains finite for arbitrarily high densities. In this work, we derive a mean field density functional form of the Helmholtz free energy for nematics with hard core repulsion. In addition to predicting the isotropic-nematic transition, the model provides a more realistic equation of state. The energy landscape is much richer, and the orientational probability distribution function in the nematic phase possesses a unique feature—it vanishes on a nonzero measure set in orientation space. |
| spellingShingle | Nascimento, E Palffy-Muhoray, P Taylor, J Virga, E Zheng, X Density functional theory for dense nematic liquid crystals with steric interactions |
| title | Density functional theory for dense nematic liquid crystals with steric interactions |
| title_full | Density functional theory for dense nematic liquid crystals with steric interactions |
| title_fullStr | Density functional theory for dense nematic liquid crystals with steric interactions |
| title_full_unstemmed | Density functional theory for dense nematic liquid crystals with steric interactions |
| title_short | Density functional theory for dense nematic liquid crystals with steric interactions |
| title_sort | density functional theory for dense nematic liquid crystals with steric interactions |
| work_keys_str_mv | AT nascimentoe densityfunctionaltheoryfordensenematicliquidcrystalswithstericinteractions AT palffymuhorayp densityfunctionaltheoryfordensenematicliquidcrystalswithstericinteractions AT taylorj densityfunctionaltheoryfordensenematicliquidcrystalswithstericinteractions AT virgae densityfunctionaltheoryfordensenematicliquidcrystalswithstericinteractions AT zhengx densityfunctionaltheoryfordensenematicliquidcrystalswithstericinteractions |