dorsal/arxiv
View SchemaParametric instability of the helical dynamo
| Authors | Marine Peyrot, Franck Plunian, Christiane Normand |
|---|---|
| Categories | |
| ArXiv ID | physics/0703216 |
| URL | https://arxiv.org/abs/physics/0703216 |
| DOI | 10.1063/1.2734118 |
Abstract
We study the dynamo threshold of a helical flow made of a mean (stationary) plus a fluctuating part. Two flow geometries are studied, either (i) solid body or (ii) smooth. Two well-known resonant dynamo conditions, elaborated for stationary helical flows in the limit of large magnetic Reynolds numbers, are tested against lower magnetic Reynolds numbers and for fluctuating flows (zero mean). For a flow made of a mean plus a fluctuating part the dynamo threshold depends on the frequency and the strength of the fluctuation. The resonant dynamo conditions applied on the fluctuating (resp. mean) part seems to be a good diagnostic to predict the existence of a dynamo threshold when the fluctuation level is high (resp. low).
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"abstract": "We study the dynamo threshold of a helical flow made of a mean (stationary)\nplus a fluctuating part. Two flow geometries are studied, either (i) solid body\nor (ii) smooth. Two well-known resonant dynamo conditions, elaborated for\nstationary helical flows in the limit of large magnetic Reynolds numbers, are\ntested against lower magnetic Reynolds numbers and for fluctuating flows (zero\nmean). For a flow made of a mean plus a fluctuating part the dynamo threshold\ndepends on the frequency and the strength of the fluctuation. The resonant\ndynamo conditions applied on the fluctuating (resp. mean) part seems to be a\ngood diagnostic to predict the existence of a dynamo threshold when the\nfluctuation level is high (resp. low).",
"arxiv_id": "physics/0703216",
"authors": [
"Marine Peyrot",
"Franck Plunian",
"Christiane Normand"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1063/1.2734118",
"title": "Parametric instability of the helical dynamo",
"url": "https://arxiv.org/abs/physics/0703216"
},
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