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Pattern Formation in Liquid Crystals pp 15–67Cite as

Hydrodynamics and Electrohydrodynamics of Liquid Crystals

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Part of the book series: Partially Ordered Systems ((PARTIAL.ORDERED))

Abstract

We present the hydrodynamic and electrohydrodynamic equations for uniaxial nematic liquid crystals and explain their derivation in detail. To derive hydrodynamic equations, which are valid for sufficiently small frequencies in the limit of long wavelengths, one identifies first the hydrodynamic variables, which come in two groups: quantities obeying conservation laws and variables associated with spontaneously broken continuous symmetries. As variables that characterize the spontaneously broken continuous rotational symmetries of a nematic liquid crystal we have the deviations from the preferred direction, which is characterized by the director, a unit vector that does not distinguish between head and tail.

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Authors
  1. Harald Pleiner
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  2. Helmut R. Brand
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Editors and Affiliations

  1. Research Institute for Solid-State Physics, Hungarian Academy of Sciences, POB. 49, H-1525, Budapest, Hungary

    Agnes Buka

  2. Institut fur Physik, Universitat Bayreuth, D-95440, Bayreuth, Germany

    Lorenz Kramer

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Pleiner, H., Brand, H.R. (1996). Hydrodynamics and Electrohydrodynamics of Liquid Crystals. In: Buka, A., Kramer, L. (eds) Pattern Formation in Liquid Crystals. Partially Ordered Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3994-9_2

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  • DOI: https://doi.org/10.1007/978-1-4612-3994-9_2

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