Decay of spatially periodic patterns in a nematic liquid crystal

Nándor Éber, Stanislaw A. Rozanski, Szilárd Németh, Ágnes Buka, Werner Pesch, and Lorenz Kramer
Phys. Rev. E 70, 061706 – Published 23 December 2004

Abstract

A detailed theoretical and experimental analysis of the decay of electroconvection patterns is presented in a planarly aligned nematic liquid crystal. The relaxation time is measured as a function of the wave number of the pattern using a light diffraction technique. A theoretical analysis exhibits a rich structure of the dispersion curves for the decay rates. An interesting relation between the realistic case of no-slip boundary conditions and the simpler free-slip case is found. The experimentally determined relaxation rates for both “conductive” and “dielectric” initial patterns follow the theoretical solution with subsequent jumps between branches when the wave number is increased.

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  • Received 18 August 2004

DOI:https://doi.org/10.1103/PhysRevE.70.061706

©2004 American Physical Society

Authors & Affiliations

Nándor Éber*, Stanislaw A. Rozanski, Szilárd Németh, and Ágnes Buka

  • Research Institute for Solid State Physics and Optics, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary

Werner Pesch and Lorenz Kramer

  • Institute of Physics, University of Bayreuth, D-95440 Bayreuth, Germany

  • *Electronic address: eber@szfki.hu
  • On leave from Higher Vocational State School in Pila, ul. Podchorazych 10, PL-64920 Pila, Poland.

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Issue

Vol. 70, Iss. 6 — December 2004

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