### Abstract

We show that the correlation functions of a system of hard ellipsoids whose axes are constrained to be parallel are simply related to the corresponding functions of a hard sphere fluid with the same packing fraction. The existence of simple, accurate approximations for the latter system make the oriented ellipsoid fluid a suitable’reference system‘for the nematically ordered phase of liquid crystals and other orientationally ordered molecular fluids such as polar fluids in an external field. The properties of such fluids, with a given angular distribution f(ω), may then be obtained via ‘standard’ perturbation theory. Methods for obtaining f(ω) near the perfectly ordered state are discussed.

Original language | English (US) |
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Pages (from-to) | 1207-1214 |

Number of pages | 8 |

Journal | Molecular Physics |

Volume | 50 |

Issue number | 6 |

DOIs | |

State | Published - Jan 1 1983 |

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### All Science Journal Classification (ASJC) codes

- Biophysics
- Molecular Biology
- Condensed Matter Physics
- Physical and Theoretical Chemistry

### Cite this

*Molecular Physics*,

*50*(6), 1207-1214. https://doi.org/10.1080/00268978300102981

}

*Molecular Physics*, vol. 50, no. 6, pp. 1207-1214. https://doi.org/10.1080/00268978300102981

**Correlation functions for nematic liquid crystals.** / Lebowitz, Joel L.; Perram, John W.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Correlation functions for nematic liquid crystals

AU - Lebowitz, Joel L.

AU - Perram, John W.

PY - 1983/1/1

Y1 - 1983/1/1

N2 - We show that the correlation functions of a system of hard ellipsoids whose axes are constrained to be parallel are simply related to the corresponding functions of a hard sphere fluid with the same packing fraction. The existence of simple, accurate approximations for the latter system make the oriented ellipsoid fluid a suitable’reference system‘for the nematically ordered phase of liquid crystals and other orientationally ordered molecular fluids such as polar fluids in an external field. The properties of such fluids, with a given angular distribution f(ω), may then be obtained via ‘standard’ perturbation theory. Methods for obtaining f(ω) near the perfectly ordered state are discussed.

AB - We show that the correlation functions of a system of hard ellipsoids whose axes are constrained to be parallel are simply related to the corresponding functions of a hard sphere fluid with the same packing fraction. The existence of simple, accurate approximations for the latter system make the oriented ellipsoid fluid a suitable’reference system‘for the nematically ordered phase of liquid crystals and other orientationally ordered molecular fluids such as polar fluids in an external field. The properties of such fluids, with a given angular distribution f(ω), may then be obtained via ‘standard’ perturbation theory. Methods for obtaining f(ω) near the perfectly ordered state are discussed.

UR - http://www.scopus.com/inward/record.url?scp=0009254419&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0009254419&partnerID=8YFLogxK

U2 - 10.1080/00268978300102981

DO - 10.1080/00268978300102981

M3 - Article

AN - SCOPUS:0009254419

VL - 50

SP - 1207

EP - 1214

JO - Molecular Physics

JF - Molecular Physics

SN - 0026-8976

IS - 6

ER -