Drift vortices in inhomogeneous plasmas: Stationary states and stability criteria. (English) Zbl 0646.76067
This paper contains a theoretical treatment of the dynamical behavior of two-dimensional nonlinear drift waves in plasmas. A simple model is investigated that allows gradients in temperature as well as in particle number density. The general class of stationary states can be specified and from the general description simplified states can be (re)derived. A quite general method, resulting in general criteria, is proposed to study the dynamics of drift vortices under perturbations. The results are applied to several cases.
MSC:
76E25 | Stability and instability of magnetohydrodynamic and electrohydrodynamic flows |
76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
49S05 | Variational principles of physics |
76B47 | Vortex flows for incompressible inviscid fluids |
82D10 | Statistical mechanics of plasmas |
Keywords:
vortex solutions; two-dimensional Navier-Stokes equation; stationary solutions; two-dimensional nonlinear drift waves; particle number densityReferences:
[1] | Hasegawa, Phys. Rev. Lett. 39 pp 205– (1977) |
[2] | Mima, Phys. Fluids 21 pp 87– (1978) |
[3] | Okuda, Phys. Fluids 16 pp 408– (1973) |
[4] | Hasegawa, Phys. Rev. Lett. 44 pp 248– (1980) |
[5] | Petviashvili, Sov. J. Plasma Phys. 3 pp 150– (1977) |
[6] | Lakhin, Phys. Lett. A 119 pp 348– (1987) |
[7] | Charney, Geophys. Public. Kosjones Nors. Videnshap. Akad. Oslo 17 pp 3– (1948) |
[8] | Meiss, Phys. Fluids 26 pp 990– (1983) |
[9] | Laedke, Phys. Fluids 29 pp 133– (1986) |
[10] | K. H. Spatschek and E. W. Laedke, inProceedings of the Joint Varenna-Abastumani International School and Workshop on Plasma Astrophysics, Sukhumi, USSR, 1986 (European Space Agency, Nordweijk, 1986), p. 61. |
[11] | Holm, Phys. Rep. 123 pp 1– (1985) |
[12] | Laedke, J. Plasma Phys. 32 pp 263– (1984) |
[13] | Bondeson, Phys. Fluids 26 pp 1275– (1983) |
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