Document Type : Original Article

Authors

Physics Group, University of Qom, Qom, Iran

Abstract

This study explores the interaction of a colloidal particle with a wavy wall in a two-dimensional nematic liquid crystal. The particle is confined in a cell between two flat and wavy walls, all with homeotropic anchoring. The particle's interaction with the wall is determined by numerically minimizing the bulk Landau–de Gennes and surface energy using a finite element method. We discovered that within a range of each successive well and hill of a wavy wall, the particle can experience attractive and repulsive interactions, leading it to move along routes determined by energy gradients. The reorientation of the nematic field around the particle from the quadrupole configuration results in anisotropic particle-wall interactions near the wall. We considered the wavy wall with two different amplitudes to explore the impact of the magnitude of wells and hills on interactions. Our calculations demonstrate that increasing the amplitude can strengthen and expand the range of interactions.

Keywords

Main Subjects

  1. Y Luo, et al., Soft Matter 12 (2016) 6027.
  2. Y Luo, et al., Commun. 9 (2018) 3841.
  3. P G de Gennes and J Prost, “The physics of liquid crystal”. Oxford University Press (1995).
  4. P. Lapointe, et al., Science 326 (2009) 1083.
  5. S Park, et al., Rev. Lett. 117 (2016) 277801.
  6. A Fernandez-Nieves, et al., Rev. Lett. 99 (2007) 157801.
  7. T Lopez-Leon, et al., Nat. Phys. 7 (2011) 391.
  8. Yade, et al., Phys. Rev. Lett. 92 (2004) 185501.
  9. I I Smalyukh, et al., Rev. Lett. 95 (2005) 157801.
  10. I Musevic, et al., Science 313 (2006) 954.
  11. J Dontabhaktuni, et al., Natl. Acad. Sci. 111 (2014) 2464.
  12. M Skarabot, et al., Rev. E 73 (2006) 021705.
  13. M Skarabot, et al., Rev. E 77 (2008) 031705.
  14. U Ognysta, et al., Rev. Lett. 100 (2008) 217803.
  15. ‌ B Senyuk, et al., Nat. Commun. 7 (2016) 10659.
  16. N M Silvestre, et al., Rev. E 95 (2017) 021606.
  17. K Wamsler, et al., Soft Matter 20 (2024) 3054.
  18. M Nobili and G Durand, Rev. A 46 (1992) R6174.
  19. S Kralj, et al., Rev. A 43 (1991) 2943.
  20. M R Mozaffari, et al., Soft Matter 7 (2011) 1107.
  21. F Ghavidel and M R Mozaffari, Iran. J. Phys. Res. 23 (2023) 281.
  22. C Geuzaine and J F Remacle, J. Numer. Methods Eng. 79 (2009) 1309. ‎
  23. G R Cowper, J. Numer. Methods Eng. 7 (1973) 405.
  24. W H Press, et al., “Numerical Recipes”, Cambridge University Press, second ed. (1992).

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