dorsal/arxiv
View SchemaLocalization of Waves without Bistability: Worms in Nematic Electroconvection
| Authors | Hermann Riecke, Glen D. Granzow |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9802003 |
| URL | https://arxiv.org/abs/patt-sol/9802003 |
| DOI | 10.1103/PhysRevLett.81.333 |
Abstract
A general localization mechanism for waves in dissipative systems is identified that does not require the bistability of the basic state and the nonlinear plane-wave state. The mechanism explains the two-dimensional localized wave structures (`worms') that recently have been observed in experiments on electroconvection in nematic liquid crystals where the transition to extended waves is supercritical. The mechanism accounts for the propagation direction of the worms and certain aspects of their interaction. The dynamics of the localized waves can be steady or irregular.
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"abstract": "A general localization mechanism for waves in dissipative systems is\nidentified that does not require the bistability of the basic state and the\nnonlinear plane-wave state. The mechanism explains the two-dimensional\nlocalized wave structures (`worms\u0027) that recently have been observed in\nexperiments on electroconvection in nematic liquid crystals where the\ntransition to extended waves is supercritical. The mechanism accounts for the\npropagation direction of the worms and certain aspects of their interaction.\nThe dynamics of the localized waves can be steady or irregular.",
"arxiv_id": "patt-sol/9802003",
"authors": [
"Hermann Riecke",
"Glen D. Granzow"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.81.333",
"title": "Localization of Waves without Bistability: Worms in Nematic Electroconvection",
"url": "https://arxiv.org/abs/patt-sol/9802003"
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