TY - JOUR
T1 - Forced periodic and quasi-periodic patterns in anisotropic systems
AU - Ogawa, Atsushi
AU - Zimmermann, Walter
AU - Kawasaki, Kyozi
AU - Kawakatsu, Toshihiro
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 1996/2
Y1 - 1996/2
N2 - 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.
AB - 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.
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U2 - 10.1051/jp2:1996183
DO - 10.1051/jp2:1996183
M3 - Article
AN - SCOPUS:0345945838
VL - 6
SP - 305
EP - 328
JO - Journal de Physique II
JF - Journal de Physique II
SN - 1155-4312
IS - 2
ER -