dorsal/arxiv
View SchemaThe asymptotic quasi-stationary states of the two-dimensional magnetically confined plasma and of the planetary atmosphere
| Authors | F. Spineanu, M. Vlad |
|---|---|
| Categories | |
| ArXiv ID | physics/0501020 |
| URL | https://arxiv.org/abs/physics/0501020 |
| DOI | 10.1103/PhysRevLett.94.235003 |
Abstract
We derive the differential equation governing the asymptotic quasi-stationary states of the two dimensional plasma immersed in a strong confining magnetic field and of the planetary atmosphere. These two systems are related by the property that there is an intrinsic constant length: the Larmor radius and respectively the Rossby radius and a condensate of the vorticity field in the unperturbed state related to the cyclotronic gyration and respectively to the Coriolis frequency. Although the closest physical model is the Charney-Hasegawa-Mima (CHM) equation, our model is more general and is related to the system consisting of a discrete set of point-like vortices interacting in plane by a short range potential. A field-theoretical formalism is developed for describing the continuous version of this system. The action functional can be written in the Bogomolnyi form (emphasizing the role of Self-Duality of the asymptotic states) but the minimum energy is no more topological and the asymptotic structures appear to be non-stationary, which is a major difference with respect to traditional topological vortex solutions. Versions of this field theory are discussed and we find arguments in favor of a particular form of the equation. We comment upon the significant difference between the CHM fluid/plasma and the Euler fluid and respectively the Abelian-Higgs vortex models.
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"abstract": "We derive the differential equation governing the asymptotic quasi-stationary\nstates of the two dimensional plasma immersed in a strong confining magnetic\nfield and of the planetary atmosphere. These two systems are related by the\nproperty that there is an intrinsic constant length: the Larmor radius and\nrespectively the Rossby radius and a condensate of the vorticity field in the\nunperturbed state related to the cyclotronic gyration and respectively to the\nCoriolis frequency. Although the closest physical model is the\nCharney-Hasegawa-Mima (CHM) equation, our model is more general and is related\nto the system consisting of a discrete set of point-like vortices interacting\nin plane by a short range potential. A field-theoretical formalism is developed\nfor describing the continuous version of this system. The action functional can\nbe written in the Bogomolnyi form (emphasizing the role of Self-Duality of the\nasymptotic states) but the minimum energy is no more topological and the\nasymptotic structures appear to be non-stationary, which is a major difference\nwith respect to traditional topological vortex solutions. Versions of this\nfield theory are discussed and we find arguments in favor of a particular form\nof the equation. We comment upon the significant difference between the CHM\nfluid/plasma and the Euler fluid and respectively the Abelian-Higgs vortex\nmodels.",
"arxiv_id": "physics/0501020",
"authors": [
"F. Spineanu",
"M. Vlad"
],
"categories": [
"physics.plasm-ph",
"physics.ao-ph"
],
"doi": "10.1103/PhysRevLett.94.235003",
"title": "The asymptotic quasi-stationary states of the two-dimensional magnetically confined plasma and of the planetary atmosphere",
"url": "https://arxiv.org/abs/physics/0501020"
},
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