Document Type

Article

Date

2-3-2008

Embargo Period

10-18-2011

Keywords

condensed matter, soft condensed matter

Language

English

Disciplines

Physics

Description/Abstract

We generalize our previous work on the phase stability and hydrodynamic of polar liquid crystals possessing local uniaxial

C1v-symmetry to biaxial systems exhibiting local C2v -symmetry. Our work is motivated by the recently discovered examples of thermotropic biaxial nematic liquid crystals comprising bent-core mesogens, whose molecular structure is characterized by a non-polar body axis (n) as well as a polar axis (p) along the bisector of the bent mesogenic core which is coincident with a large, transverse dipole moment. The free energy for this system differs from that of biaxial nematic liquid crystals in that it contains terms violating the p −p symmetry. We show that, in spite of a general splay instability associated with these parity-odd terms, a uniform polarized biaxial state can be stable in a range of parameters. We then derive the hydrodynamic equations of the system, via the Poisson-bracket formalism, in the polarized state and comment on the structure of the corresponding linear hydrodynamic modes. In our Poisson-bracket derivation, we also compute the flow-alignment parameters along the three symmetry axes in terms of microscopic parameters associated with the molecular geometry of the constituent biaxial mesogens.

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/cond-mat/0702662

Official Citation

arXiv:cond-mat/0702662v2

Source

harvested from arXiv.org

Creative Commons License

Creative Commons Attribution 3.0 License
This work is licensed under a Creative Commons Attribution 3.0 License.

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