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Prog. Theor. Phys. Vol. 84 No. 6 (1990) pp. 1009-1013
Letters
The Dynamics near Zigzag Instability
Shin-ichi Sasa
Department of Physics, Kyoto University, Kyoto 606
(Received August 2, 1990)
Abstract:
The dynamics near the zigzag instability of convective rolls is studied. It is found that the system can behave in some different ways. In one case the linear growth of the deformation is soon saturated to give a stable zigzag pattern and in the other case a kind of self-focusing of the deformation occurs, leading directly to defect creation. An explicit analysis will be given on electrohydrodynamic convections in nematic liquid crystals.
URL :
http://ptp.ipap.jp/link?PTP/84/1009/
DOI : 10.1143/PTP.84.1009
References:
-
P. Coullet, L. Gill and J. Lega, Phys. Rev. Lett. 62 (1989), 1619[APS].
- S. Sasa, Prog. Theor. Phys. 83 (1990), 824[PTP].
-
R. Williams, J. Chem. Phys. 39 (1963), 384[CrossRef].
- S. Kai and K. Hirakawa, Prog. Theor. Phys. Suppl. No. 64 (1978), 212[PTP].
-
S. Kai, N. Chizumi and M. Kohno, Phys. Rev. A40 (1989), 6554[APS].
- S. Kai and W. Zimmermann, Prog. Theor. Phys. Suppl. No. 99 (1989), 458[PTP].
- A. Joets and R. Ribotta, J. de Phys. 47 (1986), 595.
- M. Sano and Y. Sawada, private communication.
- S. Nasuno, Dr. thesis, Tohoku University, (1990) (in Japanese).
- S. Nasuno and S. Kai, “Instabilities and Transition to Defect Turbulence in Electrohydrodynamic Convection of Nematics”, preprint.
- W. Pesch and L. Kramer, Z. Phys. B63 (1986), 121.
-
E. D. Siggia and A. Zippelius, Phys. Rev. Lett. 47 (1981), 835[APS].
- P. Manneville, J. de Phys. 44 (1983), 759.
-
M. C. Cross, Phys. Rev. A27 (1983), 490[APS].
-
H. S. Greenside, M. C. Cross and W. M. Coughran, Jr., Phys. Rev. Lett. 60 (1988), 2269[APS].
- M. Kaiser, W. Pesch and E. Bodenschatz, “Mean Flow Effects in the Electro-Hydrodynamic Convection in Nematic Liquid Crystals”, preprint.
- Y. Pomeau and P. Manneville, J. de Phys. Lett. 40 (1979), 609.
- Y. Kuramoto, Prog. Theor. Phys. 71 (1984), 1182[PTP].
-
M. C. Cross and A. C. Newell, Physica 10D (1984), 299[Elsevier].
- T. Ohta, Prog. Theor. Phys. 73 (1985), 1377[PTP].
-
A. C. Newell, T. Passot and M. Souli, Phys. Rev. Lett. 64 (1990), 2378[APS].
-
H. P. Brand and R. J. Deissler, Phys. Rev. A41 (1990), 5478[APS].
- H. Riecke, Europhys. Lett. 11 (1990), 213.
- K. Kawasaki and T. Ohta, Physica 116A (1982), 573.
-
F. H. Busse and R. M. Clever, J. Fluid Mech. 91 (1979), 319[CrossRef].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 119 No. 1 (2008) pp. 1-8
:
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Transverse Front Instability in Bistable Systems with Long-Range Interactions
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Naofumi Tsukamoto, Hirokazu Fujisaka and Katsuya Ouchi