dorsal/arxiv
View SchemaGeneralized Action Invariants for Drift Waves-Zonal Flow Systems
| Authors | A. I. Smolyakov, P. H. Diamond |
|---|---|
| Categories | |
| ArXiv ID | physics/9910018 |
| URL | https://arxiv.org/abs/physics/9910018 |
| DOI | 10.1063/1.873725 |
Abstract
Generalized action invariants are identified for various models of drift wave turbulence in the presence of the mean shear flow. It is shown that the wave kinetic equation describing the interaction of the small scale turbulence and large scale shear flow can be naturally written in terms of these invariants. Unlike the wave energy, which is conserved as a sum of small- and large- scale components, the generalized action invariant is shown to correspond to a quantity which is conserved for the small scale component alone. This invariant can be used to construct canonical variables leading to a different definition of the wave action (as compared to the case without shear flow). It is suggested that these new canonical action variables form a natural basis for the description of the drift wave turbulence with a mean shear flow.
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"date_created": "2026-03-02T18:01:25.150000Z",
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"abstract": "Generalized action invariants are identified for various models of drift wave\nturbulence in the presence of the mean shear flow. It is shown that the wave\nkinetic equation describing the interaction of the small scale turbulence and\nlarge scale shear flow can be naturally written in terms of these invariants.\nUnlike the wave energy, which is conserved as a sum of small- and large- scale\ncomponents, the generalized action invariant is shown to correspond to a\nquantity which is conserved for the small scale component alone. This invariant\ncan be used to construct canonical variables leading to a different definition\nof the wave action (as compared to the case without shear flow). It is\nsuggested that these new canonical action variables form a natural basis for\nthe description of the drift wave turbulence with a mean shear flow.",
"arxiv_id": "physics/9910018",
"authors": [
"A. I. Smolyakov",
"P. H. Diamond"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1063/1.873725",
"title": "Generalized Action Invariants for Drift Waves-Zonal Flow Systems",
"url": "https://arxiv.org/abs/physics/9910018"
},
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