Skip to main content Accessibility help
×
×
Home

On the Dynamics of the Weak Fréedericksz Transition for Nematic Liquid Crystals

  • Peder Aursand (a1), Gaetano Napoli (a2) and Johanna Ridder (a3)

Abstract

We propose an implicit finite-difference method to study the time evolution of the director field of a nematic liquid crystal under the influence of an electric field with weak anchoring at the boundary. The scheme allows us to study the dynamics of transitions between different director equilibrium states under varying electric field and anchoring strength. In particular, we are able to simulate the transition to excited states of odd parity, which have previously been observed in experiments, but so far only analyzed in the static case.

Copyright

Corresponding author

*Corresponding author. Email addresses: peder.aursand@math.ntnu.no (P. Aursand), gaetano.napoli@unisalento.it (G. Napoli), johanrid@math.uio.no (J. Ridder)

References

Hide All
[1] Aursand, P. and Koley, U.. Local discontinuous Galerkin methods for a nonlinear variational wave equation modeling liquid crystals. Preprint, 2014.
[2] Bevilacqua, G. and Napoli, G.. Parity of the weak Fréedericksz transition. Eur. Phys. J. E, 35(12):15, 2012.
[3] Bryan-Brown, G. P., Wood, E. L., and Sage, I. C.. Weak surface anchoring of liquid crystals. Nature, 399(6734):338340, 1999.
[4] da Costa, F. P., Grinfeld, M., Mottram, N. J., and Pinto, J. T.. Uniqueness in the Freedericksz transition with weak anchoring. J. Diff. Eq., 246(7):25902600, 2009.
[5] De Gennes, P. G. and Prost, J.. The Physics of Liquld Crystals. Clarendon Press, Oxford, 1993.
[6] Kumar, T. A., Sathyanarayana, P., Sastry, V. S. S., Takezoe, H., Madhusudana, N. V., and Dhara, S.. Temperature- and electric-field-induced inverse Freedericksz transition in a nematogen with weak surface anchoring. Phys. Rev. E, 82(1):011701, 2010.
[7] Luckhurst, G. R., Dunmur, D. A., and Fukuda, A.. Physical properties of liquid crystals: nematics. IET, 2001.
[8] Napoli, G.. Weak anchoring effects in electrically driven Freedericksz transitions. J. Phys. A Math. Gen., 39(1):11, 2006.
[9] Nehring, J., Kmetz, A. R., and Scheffer, T. J.. Analysis of weak-boundary-coupling effects in liquid-crystal displays. J. Appl. Phys., 47(3):850857, 2008.
[10] Rapini, A. and Papoular, M.. Distorsion d’une lamelle nématique sous champ magnétique conditions d’ancrage aux parois. J. Phys. Colloq., 30(C4):C454, 1969.
[11] Stewart, I. W.. The static and dynamic continuum theory of liquid crystals: a mathematical introduction. CRC Press, 2004.
[12] Virga, E. G.. Variational theories for liquid crystals, volume 8. CRC Press, 1994.
[13] Xu, G., Shu, C.-Q., and Lin, L.. Perturbed solitons in nematic liquid crystals under time-dependent shear. Phys. Rev. A, 36(1):277284, 1987.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Communications in Computational Physics
  • ISSN: 1815-2406
  • EISSN: 1991-7120
  • URL: /core/journals/communications-in-computational-physics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Keywords

MSC classification

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed