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Antipersistent behavior of defects in a lyotropic liquid crystal during annihilation

H. V. Ribeiro1,2,*, R. R. Guimarães1,2,3, R. T. Teixeira-Souza4, H. Mukai1,3, P. R. G. Fernandes1,3, E. K. Lenzi1,2, and R. S. Mendes1,2

  • 1Departamento de Física, Universidade Estadual de Maringá, 87020-900, Maringá, Paraná, Brazil
  • 2National Institute of Science and Technology for Complex Systems, CNPq, 22290-180, Rio de Janeiro, Rio de Janeiro, Brazil
  • 3National Institute of Science and Technology for Complex Fluids, CNPq, 05508-090, São Paulo, São Paulo, Brazil
  • 4Universidade Tecnológica Federal do Paraná, Campus Pato Branco, 85503-390, Pato Branco, Paraná, Brazil

  • *hvr@dfi.uem.br

Phys. Rev. E 87, 054501 – Published 29 May, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.054501

Abstract

We report on the dynamical behavior of defects of strength s=±1/2 in a lyotropic liquid crystal during the annihilation process. By following their positions using time-resolved polarizing microscopy technique, we present statistically significant evidence that the relative velocity between defect pairs is Gaussian distributed, antipersistent, and long-range correlated. We further show that simulations of the Lebwohl-Lasher model reproduce quite well our experimental findings.

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References (48)

  1. I. Chuang, R. Durrer, N. Turok, and B. Yurke, Science 251, 1336 (1991).
  2. I. Chuang, N. Turok, and B. Yurke, Phys. Rev. Lett. 66, 2472 (1991).
  3. A. N. Pargellis, P. Finn, J. W. Goodby, P. Panizza, B. Yurke, and P. E. Cladis, Phys. Rev. A 46, 7765 (1992).
  4. B. Yurke, A. N. Pargellis, T. Kovacs, and D. A. Huse, Phys. Rev. E 47, 1525 (1993).
  5. H. Toyoki, Phys. Rev. E 47, 2558 (1993).
  6. M. Zapotocky, P. M. Goldbart, and N. Goldenfeld, Phys. Rev. E 51, 1216 (1995).
  7. I. Dierking, O. Marshall, J. Wright, and N. Bulleid, Phys. Rev. E 71, 061709 (2005).
  8. S. Dutta and S. K. Roy, Phys. Rev. E 71, 026119 (2005).
  9. N. M. Abukhdeir and A. D. Rey, New J. Phys. 10, 063025 (2008).
  10. B. F. de Oliveira, P. P. Avelino, F. Moraes, and J. C. R. E. Oliveira, Phys. Rev. E 82, 041707 (2010).
  11. P. P. Avelino, F. Moraes, J. C. R. E. Oliveira, and B. F. de Oliveira, Soft Matter 7, 10961 (2011).
  12. T. W. B. Kibble, J. Phys. A 9, 1378 (1976).
  13. J. C. Charlier, T. W. Ebbesen, and P. Lambin, Phys. Rev. B 53, 11108 (1996).
  14. C. Figueiras and B. F. de Oliveira, Ann. Phys. 523, 898 (2011).
  15. N. Petit-Garrido, R. P. Trivedi, J. Ignes-Mullol, J. Claret, C. Lapointe, F. Sagues, and I. I. Smalyukh, Phys. Rev. Lett. 107, 177801 (2011).
  16. N. Abu-Libdeh and D. Venus, Phys. Rev. B 84, 094428 (2011).
  17. J. Carvalho, C. Furtado, and F. Moraes, Phys. Rev. A 84, 032109 (2011).
  18. N. T. Mahmoud, J. M. Khalifeh, B. A. Hamad, and A. A. Mousa, Intermetallics 33, 33 (2013).
  19. N. Y. Arutyunov, M. Elsayed, R. Krause-Rehberg, V. V. Emtsev, G. A. Oganesyan, and V. V. Koziovski, J. Phys.: Condens. Matter 25, 035801 (2013).
  20. C. Quarti, A. Milani, and C. Castiglioni, J. Phys. Chem. B 117, 706 (2013).
  21. H. Mukai, P. R. G. Fernandes, B. F. de Oliveira, and G. S. Dias, Phys. Rev. E 75, 061704 (2007).
  22. Y. K. Murugesan, D. Pasini, and A. D. Rey, Soft Matter 9, 1054 (2013).
  23. S. Chandrasekhar, Liquid Crystals (Cambridge University Press, Cambridge, 1980).
  24. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon, Oxford, 1995).
  25. A. M. Figueiredo and S. A. Salinas, The Physics of Lyotropic Liquid Crystals: Phase Transitions and Structural Properties (Oxford, New York, 2005).
  26. I. Chuang, B. Yurke, A. N. Pargellis, and N. Turok, Phys. Rev. E 47, 3343 (1993).
  27. A. N. Pargellis, J. Mendez, M. Srinivasarao, and B. Yurke, Phys. Rev. E 53, R25 (1996).
  28. K. Minoura, Y. Kimura, K. Ito, and R. Hayakawa, Mol. Cryst. Liq. Cryst. 302, 345 (1997).
  29. T. Shiwaku, A. Nakai, H. Hasegawa, and T. Hashimoto, Macromolecules 23, 1590 (1990).
  30. D. K. Ding and E. L. Thomas, Mol. Cryst. Liq. Cryst. 241, 103 (1994).
  31. W. Wang, T. Shiwaku, and T. Hashimoto, J. Chem. Phys. 108, 1618 (1998).
  32. R. R. Guimarães, R. S. Mendes, P. R. G. Fernandes, and H. Mukai, J. Phys.: Condens. Matter (in press, 2013), arXiv:1304.5539 [cond-mat.soft].
  33. D. Svenšek and S. Žumer, Phys. Rev. E 66, 021712 (2002).
  34. M. Svetec, S. Kralj, Z. Bradač, and S. Žumer, Eur. Phys. J. E 20, 71 (2006).
  35. G. Tóth, C. Denniston, and J. M. Yeomans, Phys. Rev. Lett. 88, 105504 (2002).
  36. G. Tóth, C. Denniston, and J. M. Yeomans, Phys. Rev. E 67, 051705 (2003).
  37. D. Svenšek and S. Žumer, Phys. Rev. Lett. 90, 155501 (2003).
  38. P. Oswald and J. Ignés-Mullol, Phys. Rev. Lett. 95, 027801 (2005).
  39. C. Blanc, D. Svenšek, S. Žumer, and M. Nobili, Phys. Rev. Lett. 95, 097802 (2005).
  40. I. Dierking, M. Ravnik, E. Lark, J. Healey, G. P. Alexander, and J. M. Yeomans, Phys. Rev. E 85, 021703 (2012).
  41. P. A. Lebwohl and G. Lasher, Phys. Rev. A 6, 426 (1972).
  42. C. Goze Bac, R. Paredes V., C. Vásquez R., E. Medina D., and A. Hasmy, Phys. Rev. E 63, 042701 (2001).
  43. O. D. Lavrentovich and M. Kleman, Chirality in Liquid Crystals (Springer, New York, 2001).
  44. I. Dierking, Textures of Liquid Crystals (Wiley-VCH, Weinheim, 2003).
  45. B. D. Lucas and T. Kanade, in Proceedings of the 7th International Joint Conference on Artificial Intelligence, Vol. 2 (Morgan Kaufmann Publishers Inc., San Francisco, 1981), p. 674.
  46. B. Efron and R. Tibshirani, An Introduction to the Bootstrap (Chapman & Hall, New York, 1993).
  47. C. K. Peng, S. V. Buldyrev, S. Havlin, M. Simons, H. E. Stanley, and A. L. Goldberger, Phys. Rev. E 49, 1685 (1994).
  48. J. W. Kantelhardt, E. Koscielny-Bunde, H. H. A. Rego, S. Havlin, and A. Bunde, Physica A 295, 441 (2001).

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