### Abstract

The critical behavior of the nonlinear permittivity ε_{n} in the Sm-A phase of chiral liquid crystals was studied experimentally and theoretically by using the phenomenological mean-field force energy. First, the nonlinear permittivity in the Sm-A of ferroelectric liquid crystals (FLCs) was calculated by using the mean-field free energy near the Sm-A-Sm-C^{%z.ast;} phase transition. Second, the critical behavior of ε_{n} for antiferroelectric liquid crystals (AFLCs) was characterized. In the case of ferroelectric liquid crystals (FLCs), it was found that the critical behaviors of these systems can be described successfully. For the AFALCs, the large fluctuation of tilt order parameter in the Sm-A phase was reflected.

Original language | English |
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Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 64 |

Issue number | 6 I |

Publication status | Published - Dec 2001 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*64*(6 I).