Finite beta stabilization of the kinetic ion mixing mode. (English) Zbl 0586.76075
The full finite-beta local dispersion relation of the ion mixing mode is derived and analyzed, using kinetic theory. The physical mechanism of finite-beta stabilization of a single (i.e., fixed wavenumber, \(k_ zr_ n\) and \(b_ i\) constant) ion mixing mode is discussed. The distortion of the resonant region, in velocity space (by \(\nabla B\) drifts) and the coupling to the shear Alfvén wave are shown to be the important stabilization mechanisms. It is found that high values of \(\beta\) \((\beta >\beta_ c\), where \(\beta_ c=0.1\to 1.0\), for relevant parameters) are necessary for stabilization.
MSC:
| 76E25 | Stability and instability of magnetohydrodynamic and electrohydrodynamic flows |
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
| 82D10 | Statistical mechanics of plasmas |
Keywords:
full finite-beta local dispersion relation; ion mixing mode; finite-beta stabilization; distortion of the resonant region; coupling to the shear Alfvén wave; stabilization mechanismsReferences:
| [1] | Coppi, Phys. Fluids 10 pp 582– (1967) |
| [2] | Antonsen, Nucl. Fusion 19 pp 681– (1979) · doi:10.1088/0029-5515/19/5/007 |
| [3] | Gary, Phys. Fluids 22 pp 1500– (1979) |
| [4] | Gary, J. Plasma Phys. 25 pp 145– (1981) |
| [5] | Horton, Phys. Fluids 24 pp 1077– (1981) |
| [6] | Guzdar, Phys. Fluids 26 pp 673– (1983) |
| [7] | Horton, Plasma Phys. 22 pp 663– (1980) |
| [8] | Horton, Plasma Phys. 23 pp 1107– (1981) |
| [9] | S. Migliuolo, submitted to Phys. Fluids. |
| [10] | Greenwald, Phys. Rev. Lett. 53 pp 352– (1984) |
| [11] | Mikhailovskaya, Sov. Phys. JETP 18 pp 1077– (1964) |
| [12] | Berk, J. Plasma Phys. 18 pp 31– (1977) |
| [13] | Hastings, Phys. Fluids 25 pp 509– (1982) |
| [14] | Huba, Phys. Fluids 25 pp 1821– (1982) |
| [15] | Drake, Phys. Fluids 26 pp 2247– (1983) |
| [16] | Horton, Phys. Fluids 26 pp 1461– (1983) |
| [17] | B. D. Fried, and S. E. Conte,The Plasma Dispersion Function(Academic, New York, 1961). |
| [18] | T. H. Stix,The Theory of Plasma Waves(McGraw-Hill, New York, 1962). · Zbl 0121.44503 |
| [19] | W. Horton and D-I. Choi (private communication). |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
