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Effects of Lower Boundary Conditions on the Stability of Radiative Shocks

Published online by Cambridge University Press:  05 March 2013

Curtis J. Saxton*
Affiliation:
Department of Physics and Theoretical Physics, Faculty of Science, and Research School of Astronomy and Astrophysics, Australian National University, Canberra, ACT 0200; [email protected]
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Abstract

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Thermal instabilities can cause a radiative shock to oscillate, thereby modulating the emission from the post-shock region. The mode frequencies are approximately quantised in analogy to those of a vibrating pipe. The stability properties depend on the cooling processes, the electron–ion energy exchange, and the boundary conditions. This paper considers the effects of the lower boundary condition on the post-shock flow, both ideally and for some specific physical models. Specific cases include constant perturbed velocity, pressure, density, flow rate, or temperature at the lower boundary, and the situation with nonzero stationary flow velocity at the lower boundary. It is found that for cases with zero terminal stationary velocity, the stability properties are insensitive to the perturbed hydrodynamic variables at the lower boundary. The luminosity responses are generally dependent on the lower boundary condition.

Type
Research Article
Copyright
Copyright © Astronomical Society of Australia 2002

References

Beardmore, A. P., & Osborne, J. P. 1997, MNRAS, 286, 77 Google Scholar
Bertschinger, E. 1986, ApJ, 304, 154 Google Scholar
Chanmugam, G., Langer, S. H., & Shaviv, G. 1985, ApJ, 299, L87 Google Scholar
Chevalier, R. A., & Imamura, J. N. 1982, ApJ, 261, 543 Google Scholar
Cropper, M. 1990, SSRv, 54, 195 Google Scholar
Field, G. B. 1965, ApJ, 142, 531 Google Scholar
Imamura, J. N. 1985, ApJ, 296, 128 Google Scholar
Imamura, J. N., & Steiman-Cameron, T. Y. 1986, ApJ, 311, 786 Google Scholar
Imamura, J. N., Wolff, M. T., & Durisen, R. H. 1984, ApJ, 276, 667 Google Scholar
Imamura, J. N., Aboasha, A., Wolff, M. T., & Wood, K. S. 1996, ApJ, 458, 327 Google Scholar
Langer, S. H., Chanmugam, G., & Shaviv, G. 1981, ApJ, 245, L23 Google Scholar
Langer, S. H., Chanmugam, G., & Shaviv, G. 1982, ApJ, 258, 289 Google Scholar
Larsson, S. 1987, A&A, 181, L15 Google Scholar
Larsson, S. 1989, A&A, 217, 146 Google Scholar
Melrose, D. B. 1986, Instabilities in Laboratory and Space Plasmas (Cambridge: Cambridge University Press)CrossRefGoogle Scholar
Middleditch, J. 1982, ApJ, 257, L71 Google Scholar
Middleditch, J., Imamura, J. N., & Steiman-Cameron, T. Y. 1997, ApJ, 489, 912 Google Scholar
Ramsayer, T. F., Robinson, E. L., Zhang, E., Wood, J. H., & Stiening, R. F. 1993, MNRAS, 260, 209 Google Scholar
Rybicki, G. B., & Lightman, A. P. 1979, Radiative Processes in Astrophysics (New York: John Wiley & Sons)Google Scholar
Saxton, C. J. 1999, PhD Thesis, University of Sydney Google Scholar
Saxton, C. J., & Wu, K. 1999, MNRAS, 310, 677 CrossRefGoogle Scholar
Saxton, C. J., & Wu, K. 2001, MNRAS, 324, 659 Google Scholar
Saxton, C. J., Wu, K., & Pongracic, H. 1997, PASA, 14, 164 Google Scholar
Saxton, C. J., Wu, K., Pongracic, H., & Shaviv, G. 1998, MNRAS, 299, 862 Google Scholar
Spitzer, L. 1962, Physics of Fully Ionized Gases (New York: Interscience), 135 Google Scholar
Tóth, G., & Draine, B. T. 1993, ApJ, 413, 176 Google Scholar
Wolff, M. T., Gardner, J., & Wood, K. S. 1989, ApJ, 346, 833 Google Scholar
Wolff, M. T., Wood, K. S., & Imamura, J. N. 1991, ApJ, 375, L31 Google Scholar
Wolff, M. T., Imamura, J. N., Middleditch, J., Wood, K. S., & Steiman-Cameron, T. 1999, Annapolis Workshop on Magnetic Cataclysmic Variables, ASP Conf. Series 157, eds C. Hellier, & K. Mukai (San Francisco: ASP), 149 Google Scholar
Wood, K. S., Imamura, J. N., & Wolff, M. T. 1992, ApJ, 398, 593 Google Scholar
Wu, K. 1994, PASA, 11, 61 Google Scholar
Wu, K. 2000, SSRv, 93, 611 Google Scholar