Diversity and Complexity of Patterns in Nonequilibrium Systems — Pattern Formation in Electrohydrodynamic Instability —

  • Shoichi Kai
Conference paper


Pattern formation in nonequilibrium dissipative systems has attracted the interest of scientists for a long time, which is a very common phenomenon frequently observed in nature and shows rich diversity and complexity. The outline of their concept, classification and hierarchy is briefly discussed in general. As a concrete example, the electrohydrodynamic pattern formation in liquid crystals is introduced. It shows rich variety of phenomena and is easily accessible to various patterns by application of an ac voltage. Physics of the electrohydrodynamics, and their diversity and variety of pattern formation are described.


Liquid Crystal Pattern Formation Random Force Nonequilibrium System Subcritical Bifurcation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    S. Kai ed., Pattern Formation in Complex Dissipative Systems, (World Scientific, Singapore, 1991).Google Scholar
  2. [2]
    P. E. Cladis and P. Palffy-Muhoray ed., Spatio-Temporal Patterns, (SFI Studies in the Sciences of Complexity, Addison-Wesley, 1995).Google Scholar
  3. [3]
    H. Thomas, IEEE Trans. Mag., 5, 874 (1969).ADSCrossRefGoogle Scholar
  4. [4]
    P. Manneville, Dissipative Structures and Weak Turbulence (Academic Press New York 1990).MATHGoogle Scholar
  5. [5]
    M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys., 65, 851 (1993).ADSCrossRefGoogle Scholar
  6. [6]
    P. G. de Gennes, The Physics of Liquid Crystals (Clerendon Oxford 1974).Google Scholar
  7. [7]
    S. Kai and K. Hirakawa, Prog. Theor. Phys., supp. 68,212 (1978)Google Scholar
  8. S. Kai and W. Zimmermann, Prog. Theor. Phys. supp. 99, 458 (1989).ADSCrossRefGoogle Scholar
  9. [8]
    L. Kramer, E. Bodenshatz, W. Pesch, W. Thorn and W. Zimmermann, Liq. Cryst., 5, 699 (1989).CrossRefGoogle Scholar
  10. [9]
    L. Kramer and W. Pesch, Annu. Rev. Fluid Mech., 27, 515 (1995).MathSciNetADSCrossRefGoogle Scholar
  11. [10]
    S. Kai, K. Hayashi and Y. Hidaka, J. Phys. Chem., 100,19007 (1996).CrossRefGoogle Scholar
  12. [11]
    See in this book, Y. Hidaka M/Google Scholar

Copyright information

© Springer-Verlag Tokyo 1997

Authors and Affiliations

  • Shoichi Kai
    • 1
  1. 1.Department of Applied PhysicsKyushu UniversityFukuoka 812-81Japan

Personalised recommendations