Electric Nusselt number characterization of electroconvection in nematic liquid crystals

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dc.creatorGleeson, J. T.
dc.creatorGheorghiu, N.
dc.creatorPlaut, E.
dc.date1999-07-08
dc.date.accessioned2026-07-07T05:43:30Z
dc.date.available2026-07-07T05:43:30Z
dc.descriptionWe develop a characterization method of electroconvection structures in a planar nematic liquid crystal layer by a study of the electric current transport. Because the applied potential difference has a sinusoidal time dependence, we define two electric Nusselt numbers corresponding to the in-phase and out-of-phase components of the current. These Nusselt numbers are predicted theoretically using a weakly nonlinear analysis of the standard model. Our measurements of the electric current confirm that both numbers vary linearly with the distance from onset until the occurence of secondary instabilities; these instabilities also have a distinct Nusselt number signature. A systematic comparison between our theoretical and experimental results, using no adjusted parameters, demonstrates reasonable agreement. This represents a quantitative test of the standard model completely independent from traditional, optical techniques of studying electroconvection.
dc.description13 pages, 3 figures; submitted to Europhysics Letters, July, 1999
dc.identifierhttps://arxiv.org/abs/patt-sol/9907002
dc.identifierhttp://arxiv.org/abs/patt-sol/9907002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/83329
dc.subjectPattern Formation and Solitons
dc.titleElectric Nusselt number characterization of electroconvection in nematic liquid crystals
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