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Chaotic and regular shear-induced orientational dynamics of nematic liquid crystals

Author

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  • Rienäcker, G.
  • Kröger, M.
  • Hess, S.

Abstract

Based on a relaxation equation for the alignment tensor characterizing the molecular orientation in liquid crystals under flow we present results for the full orientational dynamics of homogeneous liquid crystals in a shear flow. We extend the analysis of the symmetry-adapted states by Rienäcker and Hess (Physica A 267 (1999) 294), which invoke only 3 of the 5 components of the tensor to full alignment. The steady and transient states of reduced model are preserved in this more general description, except for log-rolling, which turns out to be unstable in the range of parameters considered. However, the states reported earlier are only stable within a certain range of the parameters and there is a variety of new, symmetry-breaking transient states with the director out of the shear plane, which partially coexist with the in-plane states. The new, out-of-plane states can be divided in two classes: simple periodic and complex orbits. The first class consists of a kayaking-tumbling and a kayaking-wagging state, where the projection of the director onto the shear plane describes a tumbling or wagging motion, respectively. The second class of states, which can be found only in a small parameter range, consists of a variety of either complicated periodic or irregular, chaotic orbits. Both an intermittency route and a period-doubling route to chaos are found. A link to the corresponding rheological properties is made.

Suggested Citation

  • Rienäcker, G. & Kröger, M. & Hess, S., 2002. "Chaotic and regular shear-induced orientational dynamics of nematic liquid crystals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(3), pages 537-568.
  • Handle: RePEc:eee:phsmap:v:315:y:2002:i:3:p:537-568
    DOI: 10.1016/S0378-4371(02)01008-7
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    References listed on IDEAS

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    1. Ilg, Patrick & Karlin, Iliya V. & Öttinger, Hans Christian, 2002. "Canonical distribution functions in polymer dynamics. (I). Dilute solutions of flexible polymers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(3), pages 367-385.
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