Abstract
The MHD wave instabilities due to non-uniform magnetic field and non-homogeneity of density have been studied. The reference (coordinate) system considered here is cylindrical type. The General Dispersion Relation (GDR) for the wave propagation in a gravitating but non-relativistic region has been derived. Similar to common knowledge, the said non-uniformities have been found to be responsible for the instability of the system. But interestingly many instability factors are produced due to presence of two types of non-uniformities simultaneously. This theory may add more clues for the event of instabilities, formation of hot plasma-bed in Galactic Central Region, and mass out-flow from there. Many conditions for instabilities could be obtained from GDR deduced here. However, a few conditions for critical wavelength of the MHD wave have been obtained in terms of system parameters (like gradient of magnetic field and rotation).
This theory, in turn, may be helpful for the better understanding of the Explosion Theory of formation of outer structure of Galaxies like ours.
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References
Ambartsumian, V.A.: In: Proc. of 13th Solvay Conference, Brussels, Wiley, London (1965)
Ambartsumian, V.A.: In: O’Connel, D.J.K. (ed.) Study Week on Nuclei of Galaxies, p. 9. North-Holland, Amsterdam (1971)
Ambartsumian, V.A.: In: Stoops, R. (ed.) 11th Solvay Conference, Brussels, p. 241
Arp, H.L.: Astron. Astrophys. 3, 418 (1969a)
Arp, H.L.: Sky Telesc. 38, 385 (1969b)
Balick, B., Heckman, T.M.: Annu. Rev. Astron. Astrophys. 20, 431 (1982)
Barnes, A.: Astrophys. J. 155, 311 (1969)
Blandford, R.T.: In: Courvoisier, T.J.L., Mayor, M. (eds.) Active Galactic Nuclei, p. 161 (1990)
Bondyopadhaya, R.: Indian J. Phys. 46, 281 (1972)
Bondyopadhaya, R.: Indian J. Phys. 48, 585 (1974)
Bondyopadhaya, R.: Ph.D. thesis, Jadavpur University (1976)
Brown, R.L., Liszt, H.S.: Annu. Rev. Astron. Astrophys. 22, 223 (1984)
Chakraborty, P.K., Bondyopadhaya, R.: Indian J. Phys. B 65(2), 127 (1991)
Chakraborty, S.N., Bondyopadhaya, R.: Astrophys. Space Sci. 203, 1 (1993)
Chakraborty, S.N., Bondyopadhaya, R.: Bull. Astron. Soc. India 26, 625 (1998)
Chandrasekhar, S.: Hydrodynamic and Hydromagnetic Stability. Clarendon, Oxford (1961)
Chandrasekhar, T., et al.: Bull. Astron. Soc. India 19, 124 (1991)
Lovelacy, R.V.E., Contopulos, J.: In: Beck, R., Kronberg, P.P., Wielebinski, R. (eds.) IAU Symp. 140, p. 337 (1990)
Morris, M.: In: Sofue, Y. (ed.) The Central Region of Galaxy and Galaxies. Proc. 184th Symp. IAU, Tokyo, 1997, pp. 3–6 (1998)
Munoz-Tunon, C., Beckman, J.E.: Astrophys. Space Sci. 147, 137 (1988)
Ohno, H., Shibata, S.: Mon. Not. R. Astron. Soc. 262, 953 (1993)
Oort, J.H.: Annu. Rev. Astron. Astrophys. 15, 295 (1977)
Parker, E.N.: Astrophysics and Many Body Problem. Benjamin, New York (1963)
Rosen, A., Hardee, P.E.: Astrophys. J. 452, 750 (2000)
Serabyn, E.: In: Kundt, W. (ed.) Astrophysical Jets and Their Engines, p. 47. Reidel, Dordrecht (1987)
Sofue, Y., Handa, T.: Nature 310, 568 (1984)
Wiita, P.J.: In: Sengupta, S.P. (ed.) Cosmic Radio Jets. Frontiers in Astrophysics. Allied Publishers
Woltjer, L.: In: Blaauv, A., Schmidt, M. (eds.) Galactic Structure, vol. V, p. 741. The University of Chicago Press, Chicago (1965)
Woltjer, L.: In: O’Connell, D.J.K. (ed.) Study Week on Nuclei of Galaxies, p. 741. North-Holland, Amsterdam (1971)
Yusef-Zadeh, F., Morris, M., Chance, D.: Nature 310, 557 (1984)
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Sarkar, Z., Bondyopadhaya, R. MHD instability due to non-homogeneity and non-uniformity of magnetic field in gravitating medium and its consequences in the central region of galaxies. Astrophys Space Sci 312, 215–225 (2007). https://doi.org/10.1007/s10509-007-9678-2
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DOI: https://doi.org/10.1007/s10509-007-9678-2