### Abstract

Language | English |
---|---|

Article number | 031701 |

Number of pages | 13 |

Journal | Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 77 |

Issue number | 3 |

DOIs | |

Publication status | Published - 7 Mar 2008 |

### Fingerprint

### Keywords

- ferroelectric ordering
- chiral smectic-C*
- liquid crystals
- mesogenic molecules
- biaxial vector
- polarization

### Cite this

*Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*77*(3), [031701]. https://doi.org/10.1103/PhysRevE.77.031701

}

*Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 77, no. 3, 031701. https://doi.org/10.1103/PhysRevE.77.031701

**Ferroelectric ordering in chiral smectic- C* liquid crystals determined by nonchiral intermolecular interactions.** / Osipov, M.A.; Gorkunov, M.V.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Ferroelectric ordering in chiral smectic- C* liquid crystals determined by nonchiral intermolecular interactions

AU - Osipov, M.A.

AU - Gorkunov, M.V.

PY - 2008/3/7

Y1 - 2008/3/7

N2 - General microscopic mechanism of ferroelectric ordering in chiral smectic-C* liquid crystals is considered. It is shown that if the mesogenic molecules have a sufficiently low symmetry, the spontaneous polarization is proportional to one of the biaxial vector order parameters of the smectic-C phase. This order parameter may be determined by intermolecular interactions which are not sensitive to molecular chirality. At the same time, the polarization is also proportional to a pseudoscalar parameter which vanishes if the molecules are nonchiral. The general statistical theory of ferroelectric ordering is illustrated by two particular models. The first model is based on electrostatic quadrupole-quadrupole interactions, and it enables one to obtain explicit analytical expressions for the spontaneous polarization. In the second model, the molecular chirality and polarity are determined by a pair of off-center nonparallel dipoles. For this case, the spontaneous polarization is calculated numerically as a function of temperature. The theory provides a more general interpretation of the previous approaches including the classical Boulder model.

AB - General microscopic mechanism of ferroelectric ordering in chiral smectic-C* liquid crystals is considered. It is shown that if the mesogenic molecules have a sufficiently low symmetry, the spontaneous polarization is proportional to one of the biaxial vector order parameters of the smectic-C phase. This order parameter may be determined by intermolecular interactions which are not sensitive to molecular chirality. At the same time, the polarization is also proportional to a pseudoscalar parameter which vanishes if the molecules are nonchiral. The general statistical theory of ferroelectric ordering is illustrated by two particular models. The first model is based on electrostatic quadrupole-quadrupole interactions, and it enables one to obtain explicit analytical expressions for the spontaneous polarization. In the second model, the molecular chirality and polarity are determined by a pair of off-center nonparallel dipoles. For this case, the spontaneous polarization is calculated numerically as a function of temperature. The theory provides a more general interpretation of the previous approaches including the classical Boulder model.

KW - ferroelectric ordering

KW - chiral smectic-C

KW - liquid crystals

KW - mesogenic molecules

KW - biaxial vector

KW - polarization

UR - http://arxiv.org/PS_cache/arxiv/pdf/0711/0711.1607v1.pdf

U2 - 10.1103/PhysRevE.77.031701

DO - 10.1103/PhysRevE.77.031701

M3 - Article

VL - 77

JO - Physical Review E

T2 - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 3

M1 - 031701

ER -