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Prog. Theor. Phys. Supplement No.99 (1989) pp. 458-492

[ Full Text PDF : FREE ACCESS (8434K) ]

Pattern Dynamics in the Electrohydrodynamics of Nematic Liquid Crystals

— Defect Patterns, Transition to Turbulence and Magnetic Field Effects —

Shoichi Kai and Walter Zimmermann*

Department of Electrical Engineering, Kyushu Institute of Technology, Kitakyushu 804
*IFF Theorie III, Forschungszentrum Juelich, KFA, D-5170 Juelich, Fed. Rep. of Germany

Abstract:

Various patterns in the electrohydrodynamic convection of planarly aligned nematic liquid crystals are investigated. We give experimental and theoretical results on the onset of convection in the conduction regime and the dielectric regime as well. The transition to the fluctuating Williams domain (FWD) immediately above the onset of convection in the conduction regime is characterized in detail. At this secondary threshold the straight rolls become unstable and defects appear. During the temporal development of the FWD, defects are continuously created and annihilated, and the defect density behaves rather stochastical in time. At even higher values of the applied voltage we investigate the transition between the two turbulent states DSM1 and DSM2 which has some analogy with TI-TII transition in superfluid HeII. DSM 2 turbulence can be characterized by disclination and therefore called disclination turbulence. We show that this transition is local via nucleation and that the main difference between both states is the vanishing disclination density in the DSM1 state and its finite value in the DSM2. In the high frequency regime we analyse the secondary transition to chevrons and the defect dynamics in this pattern as a periodic defect structure. Furthermore, the influence of a superimposingly applied magnetic field on these patterns is considered.


URL : http://ptp.ipap.jp/link?PTPS/99/458/
DOI : 10.1143/PTPS.99.458

[ Full Text PDF : FREE ACCESS (8434K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 61 (1992) pp. 3950-3959 :
    The Transition from Quasi-Periodicity to Chaos in the Electro-Hydrodynamic Instability of a Nematic Liquid Crystal
    Yoshiki Hidaka, Hiroshi Orihara and Yoshihiro Ishibashi
  2. Journal of the Physical Society of Japan 63 (1994) pp. 1698-1712 :
    Evolution Processes of the Williams Domain in the Electro-Hydrodynamic Systems with Free and Rigid Lateral Boundaries
    Yoshiki Hidaka, Kazurou Shimokawa, Tomoyuki Nagaya, Hiroshi Orihara and Yoshihiro Ishibashi
  3. Journal of the Physical Society of Japan 66 (1997) pp. 3329-3332 :
    Dynamical Aspects of Spatiotemporal Chaos at the Onset of Electroconvection in Homeotropic Nematics
    Yoshiki Hidaka, Jong-Hoon Huh, Ken-ichi Hayashi, Michael I. Tribelsky and Shoichi Kai
  4. Journal of the Physical Society of Japan 67 (1998) pp. 1948-1954 :
    Transition Properties of the Soft-Mode Turbulence in the Homeotropic Electroconvection Superimposing Magnetic Fields
    Jong-Hoon Huh, Yoshiki Hidaka and Shoichi Kai
  5. Journal of the Physical Society of Japan 68 (1999) pp. 3848-3852 :
    Dynamic Image Analysis for Dynamic Scattering Modes in a Nematic Liquid Crystal
    Tomoyuki Nagaya, Takahiro Takeda and Hiroshi Orihara
  6. Journal of the Physical Society of Japan 70 (2001) pp. 2805-2808 :
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  7. Journal of the Physical Society of Japan 73 (2004) pp. 2975-2978 :
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    Jong-Hoon Huh, Yoichi Akasako and Shoichi Kai
  8. Journal of the Physical Society of Japan 75 (2006) 063801 (4 pages) :
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  9. Journal of the Physical Society of Japan 76 (2007) 033001 (4 pages) :
    Noise-induced Electrohydrodynamic Patterns in Nematic Liquid Crystals
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  10. Journal of the Physical Society of Japan 77 (2008) 083601 (4 pages) :
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  11. Journal of the Physical Society of Japan 78 (2009) 084801 (4 pages) :
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  12. Journal of the Physical Society of Japan 79 (2010) 123602 (4 pages) :
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  13. Progress of Theoretical Physics Vol. 84 No. 6 (1990) pp. 1009-1013 :
    The Dynamics near Zigzag Instability
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  14. Progress of Theoretical Physics Supplement No.161 (2006) pp. 1-11 :
    Soft-Mode Turbulence in Electroconvection of Nematics
    Yoshiki Hidaka, Koyo Tamura and Shoichi Kai

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