Dynamics of a Liquid Crystal close to the Fréedericksz transition

Aude Caussarieu 1 Artyom Petrosyan 1 Sergio Ciliberto 1
1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
Abstract : We study experimentally and numerically the dynamics of the director of a liquid crystal driven by an electric field close to the critical point of the Fréedericksz Transition (FT). We show that the Landau-Ginzburg (LG) equation, although it describes correctly the stationary features of FT in a rather large range of the control parameter, cannot be used to describe the dynamics in the same range. } The reasons {of this discrepancy} are related { not only to } the approximations done to obtain this equation {but most importantly} to the finite value of the anchoring energy and to small asymmetries on boundary conditions. The difference between static and dynamics is discussed.These results are useful in all of the cases where FT is used as an example for other orientational transitions.
Keywords : instability Fréedericksz transition Landau-Ginzburg Liquid crsytals dynamics
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Submitted on : Friday, November 22, 2013 - 4:37:44 PM
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  • HAL Id : ensl-00853039, version 3
  • ARXIV : 1308.4697

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Aude Caussarieu, Artyom Petrosyan, Sergio Ciliberto. Dynamics of a Liquid Crystal close to the Fréedericksz transition. EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2013, 104 (26004), pp.6. ⟨ensl-00853039v3⟩

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