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Phys. Rev. E 78, 046215 (2008) [9 pages]

Transition from longitudinal to transversal patterns in an anisotropic system

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Martin May*, Wolfgang Schöpf, and Ingo Rehberg
Experimentalphysik V, Universität Bayreuth, D-95440 Bayreuth, Germany

Alexei Krekhov§
Theoretische Physik I, Universität Bayreuth, D-95440 Bayreuth, Germany

Agnes Buka**
Research Institute for Solid State Physics and Optics of the Hungarian Academy of Sciences, H-1525 Budapest, Hungary

Received 25 June 2008; revised 25 August 2008; published 24 October 2008

Periodic stripe patterns which form when an electric field is applied to a thin nematic liquid crystal layer with a very low conductivity are discussed. In this case the dielectric electroconvection mode persists down to very low frequencies of the driving voltage. A Lifschitz point, i.e., a transition from normal to oblique rolls is detected in the dielectric regime. A crossover from electroconvection to flexoelectric domains occurs for extremely low frequencies of about 0.1 Hz. The crossover scenario yields pattern morphologies characteristic for both mechanisms, i.e., electroconvection and flexoelectric domains which appear consecutively within one period of the driving voltage. A theoretical description of the onset characteristics of dielectric convection, which is based on an extended model including flexoelectricity, is also presented.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.78.046215
DOI:
10.1103/PhysRevE.78.046215
PACS:
47.54.−r, 61.30.−v, 47.65.−d

*martin.may@uni-bayreuth.de

wolfgang.schoepf@uni-bayreuth.de

ingo.rehberg@uni-bayreuth.de

§alexei.krekhov@uni-bayreuth.de

**ab@szfki.hu