Forced periodic and quasi-periodic patterns in anisotropic systems

Atsushi Ogawa, Walter Zimmermann, Kyozi Kawasaki, Toshihiro Kawakatsu

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We investigate pattern formation in two-dimensional anisotropic systems under an external spatially periodic modulation force. Electrohydrodynamic convection or Rayleigh-Bénard convection of nematic liquid crystals are typical examples of anisotropic pattern forming systems. We are especially interested in the situation where the wave vector of the convection rolls and the wave vector of the external modulation force are not parallel to each other. On the basis of descriptions using amplitude equations we find various two-dimensional periodic and quasi-periodic patterns, such as rectangular pattern, skewed varicose pattern, undulations and their quasi-periodic generalizations. Temporal evolutions of a few patterns obtained by numerical simulations as well as a possible experiment are described.

Original languageEnglish
Pages (from-to)305-328
Number of pages24
JournalJournal de Physique II
Issue number2
Publication statusPublished - 1996 Feb
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering(all)
  • Physics and Astronomy (miscellaneous)


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