dorsal/arxiv
View SchemaPattern Formation from Defect Chaos --- A Theory of Chevrons
| Authors | A. G. Rossberg, L. Kramer |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9701005 |
| URL | https://arxiv.org/abs/patt-sol/9701005 |
| DOI | 10.1016/S0167-2789(97)00223-6 |
Abstract
For over 25 years it is known that the roll structure of electroconvection (EC) in the dielectric regime in planarly aligned nematic liquid crystals has, after a transition to defect chaos, the tendency to form chevron structures. We show, with the help of a coarse-grained model, that this effect can generally be expected for systems with spontaneously broken isotropy, that is lifted by a small external perturbation. The linearized model as well as a nonlinear extension are compared to simulations of a system of coupled amplitude equations which generate chevrons out of defect chaos. The mechanism of chevron formation is similar to the development of Turing patterns in reaction diffusion systems.
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"abstract": "For over 25 years it is known that the roll structure of electroconvection\n(EC) in the dielectric regime in planarly aligned nematic liquid crystals has,\nafter a transition to defect chaos, the tendency to form chevron structures. We\nshow, with the help of a coarse-grained model, that this effect can generally\nbe expected for systems with spontaneously broken isotropy, that is lifted by a\nsmall external perturbation. The linearized model as well as a nonlinear\nextension are compared to simulations of a system of coupled amplitude\nequations which generate chevrons out of defect chaos. The mechanism of chevron\nformation is similar to the development of Turing patterns in reaction\ndiffusion systems.",
"arxiv_id": "patt-sol/9701005",
"authors": [
"A. G. Rossberg",
"L. Kramer"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0167-2789(97)00223-6",
"title": "Pattern Formation from Defect Chaos --- A Theory of Chevrons",
"url": "https://arxiv.org/abs/patt-sol/9701005"
},
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