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Combined Taylor and Helmholtz instability in hydromagnetics including Hall effect

Published online by Cambridge University Press:  13 March 2009

S. P. Talwar
Affiliation:
Department of Physics and Astrophysics, University of DelhiDelhi-7, India
G. L. Kalra
Affiliation:
Department of Physics and Astrophysics, University of DelhiDelhi-7, India

Abstract

The problem of combined Rayleigh—Taylor and Kelvin—Helmholtz instability for incompressible plasmas carrying a uniform magnetic field is investigated taking account of the Hall current. The resistivity and the finite ion Larmor radius effects are left out. It is found that the finite Larmor frequency is destabilizing in nature. The growth rate of an otherwise (without the Hall current) unstable configuration is increased, and unstable modes may be produced in otherwise stable situations for reasonably large values of the Hall current. The Hall effect also results in overstable modes.

Type
Articles
Copyright
Copyright © Cambridge University Press 1967

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References

REFERENCES

Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.Google Scholar
Coppi, B. 1964 Phys. Fluids 7, 1501.CrossRefGoogle Scholar
Furth, H. P., Killeen, J. & Rosenbluth, M. N. 1963 Phys. Fluids 6, 459.CrossRefGoogle Scholar
Johnson, J. L., Greene, J. M. & Coppi, B. 1963 Phys. Fluids 6, 1169.CrossRefGoogle Scholar
Lehnert, B. 1961 Phys. Fluids 4, 847, 1053.CrossRefGoogle Scholar
Roberts, K. V. & Taylor, J. B. 1962 Phys. Rev. Lett. 8, 107.CrossRefGoogle Scholar
Rosenbluth, M. N., Krall, N. A. & Rostoker, N. 1962 J. Nucl. Fusion, Suppl. Pt. 1, 143.Google Scholar
Talwar, S. P. 1959 Z. Astrophys 47, 161.Google Scholar
Talwar, S. P. 1961 Proc. Natn. Inst. Sci. India 27, 263.Google Scholar
Talwar, S. P. & Tandon, J. N. 1962 J. Fluid Mech. 14, 178.CrossRefGoogle Scholar
Tayler, R. J. 1962 J. Nucl. Fusion, Suppl. Pt. 3, 877.Google Scholar
Tayler, R. J. 1963 J. Nucl. Energy, Pt C 5, 345.CrossRefGoogle Scholar