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Larmor radius effects on the gravitational instability of a two-component plasma

Published online by Cambridge University Press:  13 March 2009

R. P. S. Chhonkar  and
P. K. Bhatia
R. P. S. Chhonkar
Affiliation:
Department of Mathematics, University of Jodhpur, Jodhpur, India
P. K. Bhatia
Affiliation:
Department of Mathematics, University of Jodhpur, Jodhpur, India
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Abstract

The gravitational instability of a two-component plasma has been studied here to include simultaneously the effects of neutral gas friction, finite ion Larmor radius, magnetic resistivity and Hall currents. The viscosities of the two components of the plasma have also been taken into account. The mode of the transverse as well as the longitudinal wave propagation have been discussed. The dispersion relations have been obtained for both these cases and numerical calculations have been performed to obtain the dependence of the growth rate of the gravitationally unstable mode on the various physical parameters involved. For the transverse mode of propagation, it is found that the growth rate of the unstable mode increases with magnetic resistivity and with the ratio of the densities of two components. The influence of the magnetic resistivity is, therefore, destabilizing on this mode of wave propagation. The viscosities of the two components are found to have a stabilizing influence on the growth rate in this case since it is found that the increase of hte viscosity effects reduces the growth rate. For the longitudinal mode also it is found that the effects of viscosities as well as that of neutral gas friction are stabilizing. The magnetic resistivity does not affect the growth rate since the equation determining the growth rate is found to be independent of this effect.

Type
Research Article
Information
Journal of Plasma Physics , Volume 18 , Issue 2 , October 1977 , pp. 273 - 286
Copyright
Copyright © Cambridge University Press 1977

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References

REFERENCES

Bhatia, P. K. 1967 Phys. Fluids, 10, 1652.Google Scholar
Bhatia, P. K. 1968 a Z. Astrophys. 68, 204.Google Scholar
Bhatia, P. K. 1968 b Nuovo Cimento, B 56, 23.Google Scholar
Bhatia, P. K. 1968 c Z. Astrophys. 69, 363.Google Scholar
Bhatia, P. K. 1969 a Nuovo Cimento, B 59, 228.CrossRefGoogle Scholar
Bhatia, P. K. 1969 b Astron. Astrophys. 1, 372.Google Scholar
Bhatia, P. K. 1969 c Astron Astrophys. 1, 399.Google Scholar
Bhatia, P. K. 1972 Pub. Astron. Soc. Japan, 24, 375.Google Scholar
Chandrasekhar, S. 1968 Hydrodynamic and Hydromagnetic Stability. Clarendon.Google Scholar
Chew, C. F., Goldberger, M. L. & Low, F. E. 1956 Proc. Roy. Soc. 236 A, 112.Google Scholar
Gliddon, J. E. C. 1966 Astrophys. J. 145, 583.Google Scholar
Hans, H. K. 1966 Ann. d' Astrophys. 29, 339.Google Scholar
Hans, H. K. 1968 Nucl. Fusion, 8, 89.CrossRefGoogle Scholar
Herrnegger, F. 1972 J. Plasma Phys. 8, 393.CrossRefGoogle Scholar
Jeans, J. H. 1902 Phil. Trans. Roy. Soc. A 199, 1.Google Scholar
Jukes, J. D. 1964 Phys. Fluids, 7, 52.CrossRefGoogle Scholar
Lehnert, B. 1959 Nuovo Cimento Suppl. 13 (10), 59.CrossRefGoogle Scholar
Mattei, G. 1968 J. Plasma Phys. 2, 9.Google Scholar
Roberts, K. V. & Taylor, J. B. 1962 Phys. Rev. Lett. 8, 197.CrossRefGoogle Scholar
Rosenbluth, M. N., Krall, N. & Rostoker, N. 1962 Nucl. Fusion Suppl., Part 1, 143.Google Scholar
Singh, S. & Hans, H. K. 1965 Zeit. Astrophys. 62, 12.Google Scholar
Thompson, W. B. 1962 Introduction to Plasma Physics. Pergamon.Google Scholar