Osipov, Mikhail and Pajak, Grzegorz (2012) *Molecular theory of the tilting transition in smectic liquid crystals with weak layer contraction and diffused cone orientational distribution.* Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 85 (121701). ISSN 1063-651X

## Abstract

A molecular field theory of the smectic-A−smectic-C transition has been developed for smectics with a diffused cone orientational distribution of molecules (volcano-like distribution function) in the smectic-A phase and anomalously weak layer contraction in the smectic-C phase. Orientational order parameters and smectic layer spacing have been calculated numerically as functions of temperature and compared with the results obtained using a model with a standard Maier-Saupe–type distribution function that has been considered before. A molecular theory of the electroclinic effect in chiral smectics has also been developed using the recently proposed simple biaxial interaction potential. A comparison has been made between the absolute values and temperature variations of the electroclinic coefficient obtained using the volcano model, the model with Maier-Saupe–type distribution, and the orthodox cone model proposed by de Vries. It has been shown that the model with a conventional “sugar loaf” type orientational distribution function in the smectic-A phase is sufficient to describe the main properties of smectics with anomalously weak layer contraction.

Item type: | Article |
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ID code: | 37685 |

Keywords: | tilting transition , smectic liquid crystals, weak layer contraction, Probabilities. Mathematical statistics, Physics and Astronomy(all), Mathematical Physics, Statistical and Nonlinear Physics, Condensed Matter Physics |

Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Pure Administrator |

Date Deposited: | 16 Feb 2012 10:53 |

Last modified: | 27 Mar 2014 09:58 |

URI: | http://strathprints.strath.ac.uk/id/eprint/37685 |

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