dorsal/arxiv
View SchemaElectric Nusselt number characterization of electroconvection in nematic liquid crystals
| Authors | J. T. Gleeson, N. Gheorghiu, E. Plaut |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9907002 |
| URL | https://arxiv.org/abs/patt-sol/9907002 |
Abstract
We 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.
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"date_created": "2026-03-02T18:00:28.876000Z",
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"abstract": "We develop a characterization method of electroconvection structures in a\nplanar nematic liquid crystal layer by a study of the electric current\ntransport. Because the applied potential difference has a sinusoidal time\ndependence, we define two electric Nusselt numbers corresponding to the\nin-phase and out-of-phase components of the current. These Nusselt numbers are\npredicted theoretically using a weakly nonlinear analysis of the standard\nmodel. Our measurements of the electric current confirm that both numbers vary\nlinearly with the distance from onset until the occurence of secondary\ninstabilities; these instabilities also have a distinct Nusselt number\nsignature. A systematic comparison between our theoretical and experimental\nresults, using no adjusted parameters, demonstrates reasonable agreement. This\nrepresents a quantitative test of the standard model completely independent\nfrom traditional, optical techniques of studying electroconvection.",
"arxiv_id": "patt-sol/9907002",
"authors": [
"J. T. Gleeson",
"N. Gheorghiu",
"E. Plaut"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Electric Nusselt number characterization of electroconvection in nematic liquid crystals",
"url": "https://arxiv.org/abs/patt-sol/9907002"
},
"schema_id": "dorsal/arxiv",
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