Electro-osmosis and flexo-electricity in the dowser texture

  • Pawel PieranskiEmail author
  • Maria Helena Godinho
Regular Article


Due to its low symmetry, the long-lived pseudo-planar texture, dubbed “the dowser texture”, has a flexo-electric spontaneous polarisation \(\mathbf{P}_{fe}\). Being degenerated, the dowser texture is easily aligned by the electric torque \(\Gamma = \mathbf{P}_{fe}\times \mathbf{E}\) acting on \(\mathbf{P}\). The dowser texture can also be aligned by Poiseuille flows driven by electro-osmosis. The hydrodynamic torques due to the electro-osmotic flows are linear in \(\mathbf{E}\) like the electrical one. It is shown that in 5CB the electro-osmotic flows can alter measurements of the flexo-electric polarisation.

Graphical abstract


Soft Matter: Liquid crystals 


  1. 1.
    O.L. Lavrentovich, Soft Matter 10, 1264 (2010)ADSCrossRefGoogle Scholar
  2. 2.
    O.L. Lavrentovich, I. Lazo, O.P. Pishniak, Nature 467, 947 (2010)ADSCrossRefGoogle Scholar
  3. 3.
    S. Hernàndez-Navarro, P. Tierno, J. Ignés-Mulol, F. Sagués, Soft Matter 9, 7999 (2013)ADSCrossRefGoogle Scholar
  4. 4.
    I. Lazo, C. Peng, J. Xiang, S.V. Shiyanovskii, O.D. Lavrentovich, Nat. Commun. 5, 5033 (2014)ADSCrossRefGoogle Scholar
  5. 5.
    C. Peng, Yubing Guo, C. Conklin, J. Vinãls, S.V. Shiyanovskii, Qi-Huo Wei, O.D. Lavrentovich, Phys. Rev. E 92, 052502 (2015)ADSCrossRefGoogle Scholar
  6. 6.
    O.M. Tovkach, M.C. Calderer, D. Golovaty, O. Lavrentovich, N.J. Walkington, Phys. Rev. E 94, 012702 (2016)ADSCrossRefGoogle Scholar
  7. 7.
    J.M. Gilli, S. Thiberge, A. Vierheilig, F. Fried, Liq. Cryst. 23, 619 (1997)CrossRefGoogle Scholar
  8. 8.
    P. Pieranski, M.H. Godinho, S. Čopar, Phys. Rev. E 94, 042706 (2016)ADSCrossRefGoogle Scholar
  9. 9.
    P. Pieranski, M.H. Godinho, Soft Matter 15, 1459 (2019)ADSCrossRefGoogle Scholar
  10. 10.
    L. Giomi, Z. Kos, M. Ravnik, A. Sengupta, Proc. Natl. Acad. Sci. U.S.A. 114, E5771 (2017)ADSCrossRefGoogle Scholar
  11. 11.
    P. Pieranski, S. Čopar, M.H. Godinho, M. Dazza, Eur. Phys. J. E 39, 121 (2016)CrossRefGoogle Scholar
  12. 12.
    P. Pieranski, J.-P. Hulin, M.H. Godinho, Eur. Phys. J. E 40, 109 (2017)CrossRefGoogle Scholar
  13. 13.
    R.B. Meyer, Phys. Rev. Lett. 22, 918 (1969)ADSCrossRefGoogle Scholar
  14. 14.
    P.-G. de Gennes, J. Prost, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1993) p. 136Google Scholar
  15. 15.
    I. Dozov, J. Phys. (Paris) Lett. 43, L-365 (1982)CrossRefGoogle Scholar
  16. 16.
    D.R. Link, M. Nakata, Y. Takanishi, K. Ishikawa, H. Takezoe, Phys. Rev. E 65, 010701(R) (2001)CrossRefGoogle Scholar

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

Authors and Affiliations

  1. 1.Laboratoire de Physique des SolidesUniversité Paris-SudOrsayFrance
  2. 2.CENIMAT, Faculdade de Ciências e TecnologiaUniversidade Nova de LisboaCaparicaPortugal

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