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  Spatiotemporal complexity of electroconvection patterns in nematic liquid crystals

Krekhov, A., Dressel, B., Pesch, W., Delev, V., & Batyrshin, E. (2015). Spatiotemporal complexity of electroconvection patterns in nematic liquid crystals. Physical Review Letters, 92(6): 062510. doi:10.1103/PhysRevE.92.062510.

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Krekhov, A.1, Author              
Dressel, B., Author
Pesch, W., Author
Delev , V. , Author
Batyrshin, E., Author
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1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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 Abstract: We investigate a number of complex patterns driven by the electroconvection instability in a planarly aligned layer of a nematic liquid crystal. They are traced back to various secondary instabilities of the ideal roll patterns bifurcating at onset of convection, whereby the basic nematohydrodynamic equations are solved by common Galerkin expansion methods. Alternatively these equations are systematically approximated by a set of coupled amplitude equations. They describe slow modulations of the convection roll amplitudes, which are coupled to a flow field component with finite vorticity perpendicular to the layer and to a quasihomogeneous in-plane rotation of the director. It is demonstrated that the Galerkin stability diagram of the convection rolls is well reproduced by the corresponding one based on the amplitude equations. The main purpose of the paper is, however, to demonstrate that their direct numerical simulations match surprisingly well new experiments, which serves as a convincing test of our theoretical approach.

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Language(s): eng - English
 Dates: 2015-12-182015-12
 Publication Status: Published in print
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 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevE.92.062510
BibTex Citekey: Krekhov.Dressel.ea2015
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Title: Physical Review Letters
Source Genre: Journal
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Pages: 12 Volume / Issue: 92 (6) Sequence Number: 062510 Start / End Page: - Identifier: -