Advertisement

A thermomechanical coupling in cholesteric liquid crystals: Unidirectional rotation of double-twist cylinders driven by heat flux

  • Shinji Bono
  • Yuji Maruyama
  • Katsu Nishiyama
  • Yuka TabeEmail author
Regular Article
  • 16 Downloads
Part of the following topical collections:
  1. Thermal Non-Equilibrium Phenomena in Soft Matter

Abstract.

We made aggregates of cholesteric liquid crystalline Cylinders with Double-Twist orientational structure (DTC) and investigated their rigid-body rotation under a temperature gradient, focusing on how the rotational speed should depend on the cylinder size. The experimental results showed that the angular velocity of the DTC aggregates linearly increased with the height of the cylinders and was inversely proportional to the base area. With a phenomenological equation, we analyzed the torque caused by the heat flux and its balance with the viscous friction, and found that the simple analysis well explained the size-dependence of the rotation of the DTC aggregates. The coupling constant between the heat flux and the torque to drive the rigid-body rotation was in the same order of magnitude as that for the director rotation.

Graphical abstract

Keywords

Topical issue: Thermal Non-Equilibrium Phenomena in Soft Matter 

References

  1. 1.
    O. Lehmann, Ann. Phys. 307, 649 (1900)CrossRefGoogle Scholar
  2. 2.
    P. Oswald, A. Dequidt, Liq. Cryst. 36, 1071 (2009)CrossRefGoogle Scholar
  3. 3.
    H.R. Brand, H. Pleiner, D. Svenšek, Rheol. Acta 57, 773 (2018)CrossRefGoogle Scholar
  4. 4.
    P. Oswald, A. Dequidt, Phys. Rev. Lett. 100, 217802 (2008)ADSCrossRefGoogle Scholar
  5. 5.
    F.M. Leslie, Proc. R. Soc. London Math. Phys. Eng. Sci. 307, 359 (1968)ADSCrossRefGoogle Scholar
  6. 6.
    L. Onsager, Phys. Rev. 37, 405 (1931)ADSCrossRefGoogle Scholar
  7. 7.
    P.G. de Gennes, J. Prost, The Physics of Liquid Crystals, second edition (Oxford University Press, Oxford, New York, 1995)Google Scholar
  8. 8.
    S. Chandrasekhar, Liquid Crystals, second edition (Cambridge University Press, Cambridge, UK, New York, NY, USA, 2008)Google Scholar
  9. 9.
    P. Oswald, A. Dequidt, EPL 83, 16005 (2008)ADSCrossRefGoogle Scholar
  10. 10.
    J. Yoshioka, F. Ito, Y. Suzuki, H. Takahashi, H. Takizawa, Y. Tabe, Soft Matter 10, 5869 (2014)ADSCrossRefGoogle Scholar
  11. 11.
    T. Yamamoto, M. Kuroda, M. Sano, EPL 109, 46001 (2015)ADSCrossRefGoogle Scholar
  12. 12.
    F. Ito, J. Yoshioka, Y. Tabe, J. Phys. Soc. Jpn. 85, 114601 (2016)ADSCrossRefGoogle Scholar
  13. 13.
    P. Oswald, EPL 97, 36006 (2012)ADSCrossRefGoogle Scholar
  14. 14.
    K. Nishiyama, S. Bono, Y. Maruyama, Y. Tabe, J. Phys. Soc. Jpn. 88, 063601 (2019)ADSCrossRefGoogle Scholar
  15. 15.
    G. Poy, P. Oswald, Soft Matter 12, 2604 (2016)ADSCrossRefGoogle Scholar
  16. 16.
    S. Bono, Y. Maruyama, Y. Tabe, Soft Matter 14, 9798 (2018)ADSCrossRefGoogle Scholar
  17. 17.
    P. Oswald, P. Pieranski, Nematic and Cholesteric Liquid Crystals: Concepts and Physical Properties Illustrated by Experiments (CRC Press, Boca Raton, 2005)Google Scholar
  18. 18.
    H. Kikuchi, M. Yokota, Y. Hisakado, H. Yang, T. Kajiyama, Nat. Mater. 1, 64 (2002)ADSCrossRefGoogle Scholar
  19. 19.
    S. Bono, Y. Maruyama, K. Nishiyama, Y. Tabe, to be published in Mol. Cryst. Liq. CrystGoogle Scholar
  20. 20.
    S. Bono, S. Sato, Y. Tabe, Soft Matter 13, 6569 (2017)ADSCrossRefGoogle Scholar
  21. 21.
    J. Yoshioka, F. Ito, Y. Tabe, Soft Matter 12, 2400 (2016)ADSCrossRefGoogle Scholar
  22. 22.
    A.G. Chmielewski, Mol. Cryst. Liq. Cryst. 132, 339 (1986)CrossRefGoogle Scholar
  23. 23.
    H. Kneppe, F. Schneider, N.K. Sharma, J. Chem. Phys. 77, 3203 (1982)ADSCrossRefGoogle Scholar
  24. 24.
    P. Oswald, Eur. Phys. J. E 28, 377 (2009)CrossRefGoogle Scholar

Copyright information

© EDP Sciences, Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Shinji Bono
    • 1
  • Yuji Maruyama
    • 1
  • Katsu Nishiyama
    • 1
  • Yuka Tabe
    • 1
    • 2
    Email author
  1. 1.Faculty of Science and EngineeringWaseda UniversityTokyoJapan
  2. 2.Kagami Memorial Research Institute for Material Science and TechnologyWaseda UniversityTokyoJapan

Personalised recommendations