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Dislocations dynamics during the nonlinear creep of a homeotropic sample of smectic-A liquid crystal

  • P. Oswald
  • G. Poy
Regular Article

Abstract.

New creep experiments under sinusoidal compression/dilation deformation of a homeotropic sample of smectic-A liquid crystal (8CB) show that its response is nonlinear at very small amplitude of deformation. This behavior is explained by taking into account the crossing between the edge dislocations that climb parallel to the layers and the screw dislocations joining the two surfaces limiting the sample. The activation energy of the crossing process and the density of the screw dislocations as a function of the sample thickness are estimated experimentally.

Graphical abstract

Keywords

Soft Matter: Liquid crystals 

References

  1. 1.
    P. Oswald, P. Pieranski, Smectic and Columnar Liquid Crystals: Concepts and Physical Properties Illustrated by Experiments (Taylor & Francis, CRC Press, Boca Raton, 2006)Google Scholar
  2. 2.
    R. Bartolino, G. Durand, Phys. Rev. Lett. 39, 1346 (1977)ADSCrossRefGoogle Scholar
  3. 3.
    R.B. Meyer, B. Stebler, S.T. Lagerwall, Phys. Rev. Lett. 41, 1393 (1978)ADSCrossRefGoogle Scholar
  4. 4.
    J. Milette, V. Toader, L. Reven, R.B. Lennox, J. Mater. Chem. 21, 9043 (2011)CrossRefGoogle Scholar
  5. 5.
    P. Oswald, J. Milette, S. Relaix, L. Reven, A. Dequidt, L. Lejček, EPL 103, 46004 (2013)ADSCrossRefGoogle Scholar
  6. 6.
    P. Oswald, L. Lejček, Eur. Phys. J. E 40, 84 (2017)CrossRefGoogle Scholar
  7. 7.
    M. Kléman, Philos. Mag. 34, 79 (1976)ADSCrossRefGoogle Scholar
  8. 8.
    L. Bourdon, Contribution à l'étude des défauts dans les phases smectiques à couches liquides, M.Sc. Thesis, University of Paris XI, Orsay, 1980Google Scholar
  9. 9.
    K. Ishikawa, T. Uemura, H. Takezoe, A. Fukuda, Jpn. J. Appl. Phys. 23, L666 (1984)ADSCrossRefGoogle Scholar
  10. 10.
    M. Kléman, C.E. Williams, J.M. Costello, T. Gulik-Krzywicki, Philos. Mag. 35, 33 (1977)ADSCrossRefGoogle Scholar
  11. 11.
    M. Allain, Europhys. Lett. 2, 597 (1986)ADSCrossRefGoogle Scholar
  12. 12.
    I. Lelidis, C. Blanc, M. Kléman, Phys. Rev. E 74, 051710 (2006)ADSCrossRefGoogle Scholar
  13. 13.
    P. Oswald, D. Lefur, C.R. Acad. Sci. Paris, Série II 297, 699 (1983)Google Scholar
  14. 14.
    L. Bourdon, M. Kléman, L. Lejček, D. Taupin, J. Phys. (Paris) 42, 261 (1981)CrossRefGoogle Scholar
  15. 15.
    P. Oswald, M. Kléman, J. Phys. (Paris) Lett. 45, L319 (1984)CrossRefGoogle Scholar
  16. 16.
    R.A. Herke, N.A. Clark, M.A. Handschy, Phys. Rev. E 56, 3028 (1997)ADSCrossRefGoogle Scholar
  17. 17.
    I. Lelidis, M. Kléman, J.L. Martin, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 330, 457 (1999)CrossRefGoogle Scholar
  18. 18.
    I. Lelidis, M. Kléman, J.L. Martin, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 351, 187 (2000)CrossRefGoogle Scholar
  19. 19.
    C. Blanc, N. Zuodar, I. Lelidis, M. Kléman, J.L. Martin, Phys. Rev. E 69, 011705 (2004)ADSCrossRefGoogle Scholar
  20. 20.
    P. Oswald, Phys. Rev. E 92, 062508 (2005) Note here that a factor of 2 is missing in the denominator of eq. (37) of this paperADSCrossRefGoogle Scholar
  21. 21.
    R. Ribotta, G. Durand, J. Phys. (Paris) 38, 179 (1977)CrossRefGoogle Scholar
  22. 22.
    N.A. Clark, A.J. Hurd, J. Phys. (Paris) 43, 1159 (1982)CrossRefGoogle Scholar
  23. 23.
    J.C. Géminard, R. Holyst, P. Oswald, Phys. Rev. Lett. 78, 1924 (1997)ADSCrossRefGoogle Scholar
  24. 24.
    F. Picano, R. Holyst, P. Oswald, Phys. Rev. E 62, 3747 (2000)ADSCrossRefGoogle Scholar
  25. 25.
    P. Oswald, F. Picano, F. Caillier, Phys. Rev. E 68, 061701 (2003)ADSCrossRefGoogle Scholar
  26. 26.
    A. Żywociński, F. Picano, P. Oswald, J.C. Géminard, Phys. Rev. E 62, 8133 (2000)ADSCrossRefGoogle Scholar
  27. 27.
    J. Friedel, Dislocations (Pergamon Press, New York, 1967) p. 224Google Scholar
  28. 28.
    A.J.E. Foreman, M.J. Makin, Philos. Mag. 14, 911 (1966)ADSCrossRefGoogle Scholar
  29. 29.
    F.R.N. Nabarro, Theory of Crystal Dislocations (Dover, New York, 1987)Google Scholar
  30. 30.
    H.A. Kramers, Physica (Utrecht) 7, 284 (1940)ADSMathSciNetCrossRefGoogle Scholar
  31. 31.
    P. Oswald, C.R. Acad. Sci. Paris, Série II 296, 1385 (1983)Google Scholar
  32. 32.
    P. Oswald, Dynamique des dislocations dans les smectiques A et B, D.Sc. Thesis, University of Paris XI, Orsay, 1985Google Scholar
  33. 33.
    L. Lejček, Liq. Cryst. 1, 473 (1986)CrossRefGoogle Scholar
  34. 34.
    C. Zhang, O.D. Lavrentovich, A. Jàkli, Proc. SPIE 9769, 97690D-1 (2016)CrossRefGoogle Scholar
  35. 35.
    M. Kléman, J. Phys. (Paris) 35, 595 (1974)CrossRefGoogle Scholar
  36. 36.
    P.V. Dolganov, E.I. Kats, V.K. Dolganov, JETP Lett. 106, 229 (2017)ADSCrossRefGoogle Scholar
  37. 37.
    E. Dubois-Violette, E. Guazzelli, J. Prost, Philos. Mag. 48, 727 (1983)ADSCrossRefGoogle Scholar
  38. 38.
    C. Blanc, private communicationGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Laboratoire de PhysiqueUniv Lyon, ENS de Lyon, Univ Claude Bernard, CNRSLyonFrance

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