Macroscopic behavior of non-polar tetrahedratic nematic liquid crystals.

The European Physical Journal. E, Soft Matter
Helmut R Brand, Harald Pleiner

Abstract

We discuss the symmetry properties and the macroscopic behavior of a nematic liquid crystal phase with D(2d) symmetry. Such a phase is a prime candidate for nematic phases made from banana-shaped molecules where the usual quadrupolar order coexists with octupolar (tetrahedratic) order. The resulting nematic phase is nonpolar. While this phase could resemble the classic D (infinityh) nematic in the polarizing microscope, it has many static as well as reversible and irreversible properties unknown to nonpolar nematics without octupolar order. In particular, there is a linear gradient term in the free energy that selects parity leading to ambidextrously helical ground states when the molecules are achiral. In addition, there are static and irreversible coupling terms of a type only met otherwise in macroscopically chiral liquid crystals, e.g. the ambidextrous analogues of Lehmann-type effects known from cholesteric liquid crystals. We also discuss the role of hydrodynamic rotations about the nematic director. For example, we show how strong external fields could alter the D(2d) symmetry, and describe the non-hydrodynamic aspects of the dynamics, if the two order structures, the nematic and the tetrahedratic one, rotate relative to...Continue Reading

References

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Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·William KungKarl Saunders
Jul 27, 2006·The European Physical Journal. E, Soft Matter·H PleinerH R Brand
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Helmut R BrandFalko Ziebert
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Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Helmut R BrandHarald Pleiner
Feb 15, 2006·Soft Matter·Helmut R BrandPhilippe Martinoty

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Citations

Nov 29, 2011·The European Physical Journal. E, Soft Matter·H R BrandD Svenšek
Jul 1, 2015·The European Physical Journal. E, Soft Matter·Epifanio G Virga
Dec 16, 2011·The Journal of Physical Chemistry. B·Pramod Tadapatri, K S Krishnamurthy
Nov 9, 2016·The European Physical Journal. E, Soft Matter·Helmut R BrandDaniel Svenšek
Sep 28, 2014·The European Physical Journal. E, Soft Matter·H R BrandD Svenšek
Nov 30, 2013·The European Physical Journal. E, Soft Matter·H PleinerH R Brand
Feb 26, 2014·The European Physical Journal. E, Soft Matter·Harald Pleiner, Helmut R Brand
Nov 16, 2019·The European Physical Journal. E, Soft Matter·Helmut R Brand, Harald Pleiner
Mar 25, 2017·The European Physical Journal. E, Soft Matter·Helmut R Brand, Harald Pleiner
Mar 23, 2019·The European Physical Journal. E, Soft Matter·Tilen PotiskHelmut R Brand
Sep 17, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Helmut R BrandDaniel Svenšek
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Karol TrojanowskiThomas Wydro

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