Weakly nonlinear theory of electroconvection in homeotropically oriented nematic liquid crystals

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Published under licence by IOP Publishing Ltd
, , Citation A G Rossberg and L Kramer 1996 Phys. Scr. 1996 121 DOI 10.1088/0031-8949/1996/T67/024

1402-4896/1996/T67/121

Abstract

After reviewing some of the recent progress achieved in electroconvection of planarly oriented nematics we present a weakly nonlinear theory for the homeotropically oriented case for materials with negative dielectric anisotropy. Then one first has a Freédericksz transition that spontaneously breaks the isotropy in the plane of the convection layer and subsequently the convective instability. As a result the Goldstone mode resulting from the broken isotropy couples to the amplitude of the patterning mode. The equations exhibit new types of spatio-temporal chaos at onset.

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10.1088/0031-8949/1996/T67/024