dorsal/arxiv
View SchemaSpiral Motion in a Noisy Complex Ginzburg-Landau Equation
| Authors | Igor Aranson, Hugues Chate, Lei Han Tang |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9709005 |
| URL | https://arxiv.org/abs/patt-sol/9709005 |
| DOI | 10.1103/PhysRevLett.80.2646 |
Abstract
The response of spiral waves to external perturbations in a stable regime of the two-dimensional complex Ginzburg-Landau equation (CGLE) is investigated. It is shown that the spiral core has a finite mobility and performs Brownian motion when driven by white noise. Combined with simulation results, this suggests that defect-free and quasi-frozen states in the noiseless CGLE are unstable against free vortex excitation at any non-zero noise strength.
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"abstract": "The response of spiral waves to external perturbations in a stable regime of\nthe two-dimensional complex Ginzburg-Landau equation (CGLE) is investigated. It\nis shown that the spiral core has a finite mobility and performs Brownian\nmotion when driven by white noise. Combined with simulation results, this\nsuggests that defect-free and quasi-frozen states in the noiseless CGLE are\nunstable against free vortex excitation at any non-zero noise strength.",
"arxiv_id": "patt-sol/9709005",
"authors": [
"Igor Aranson",
"Hugues Chate",
"Lei Han Tang"
],
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"patt-sol",
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],
"doi": "10.1103/PhysRevLett.80.2646",
"title": "Spiral Motion in a Noisy Complex Ginzburg-Landau Equation",
"url": "https://arxiv.org/abs/patt-sol/9709005"
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