| Based on a relaxation equation for the second rank alignment tensor characterizing the molecular orientation in liquid crystals we report about a number of symmetry-breaking transient states and simple periodic and irregular, chaotic out-of-plane orbits under steady flow. Both an intermittency route and a period-doubling route to chaos are found for this 5 dimensional dynamic system in a certain range of parameters (shear rate, tumbling parameter at isotropic-nematic coexistence, and reduced temperature). A link to the corresponding rheo-chaotic states, present in complex fluids, is made. (ITP preprint NSF-ITP-02-30)
for LaTeX users @article{GRienäcker2002-66,
author = {G. Rienäcker and M. Kr\"oger and S. Hess},
title = {Chaotic orientational behavior of a nematic liquid crystal subjected to a steady shear flow},
journal = {Phys. Rev. E},
volume = {66},
pages = {040702},
year = {2002}
}
\bibitem{GRienäcker2002-66} G. Rienäcker, M. Kr\"oger, S. Hess,
Chaotic orientational behavior of a nematic liquid crystal subjected to a steady shear flow,
Phys. Rev. E {\bf 66} (2002) 040702 (4 pages).GRienäcker2002-66
G. Rienäcker, M. Kr\"oger, S. Hess
Chaotic orientational behavior of a nematic liquid crystal subjected to a steady shear flow
Phys. Rev. E,66,2002,040702 (4 pages) |
mk@mat.ethz.ch
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