dorsal/arxiv
View SchemaFront Structures in a Real Ginzburg-Landau Equation Coupled to a Mean Field
| Authors | Henar Herrero, Hermann Riecke |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9401006 |
| URL | https://arxiv.org/abs/patt-sol/9401006 |
| DOI | 10.1142/S0218127494001039 |
| Journal | Int. J. Bif. and Chaos 4 (1994) 1343-1346 |
Abstract
Localized traveling wave trains or pulses have been observed in various experiments in binary mixture convection. For strongly negative separation ratio, these pulse structures can be described as two interacting fronts of opposite orientation. An analytical study of the front solutions in a real Ginzburg-Landau equation coupled to a mean field is presented here as a first approach to the pulse solution. The additional mean field becomes important when the mass diffusion in the mixture is small as is the case in liquids. Within this framework it can lead to a hysteretic transition between slow and fast fronts when the Rayleigh number is changed.
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"abstract": "Localized traveling wave trains or pulses have been observed in various\nexperiments in binary mixture convection. For strongly negative separation\nratio, these pulse structures can be described as two interacting fronts of\nopposite orientation. An analytical study of the front solutions in a real\nGinzburg-Landau equation coupled to a mean field is presented here as a first\napproach to the pulse solution. The additional mean field becomes important\nwhen the mass diffusion in the mixture is small as is the case in liquids.\nWithin this framework it can lead to a hysteretic transition between slow and\nfast fronts when the Rayleigh number is changed.",
"arxiv_id": "patt-sol/9401006",
"authors": [
"Henar Herrero",
"Hermann Riecke"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1142/S0218127494001039",
"journal_ref": "Int. J. Bif. and Chaos 4 (1994) 1343-1346",
"title": "Front Structures in a Real Ginzburg-Landau Equation Coupled to a Mean Field",
"url": "https://arxiv.org/abs/patt-sol/9401006"
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