Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-28T16:13:04.186Z Has data issue: false hasContentIssue false

Diffusive Shock Acceleration by Multiple Shock Fronts with Differing Properties

Published online by Cambridge University Press:  25 April 2016

M. H. Pope
Affiliation:
Research Centre for Theoretical Astrophysics, and Sir Frank Packer Department of Theoretical Physics, School of Physics, University of Sydney, NSW 2006
D. B. Melrose
Affiliation:
Research Centre for Theoretical Astrophysics, and Sir Frank Packer Department of Theoretical Physics, School of Physics, University of Sydney, NSW 2006

Abstract

The effect of diffusive shock acceleration on a distribution of particles is explored for multiple shocks, taking into account adiabatic expansion between the shocks. Specifically, the spectral index is calculated numerically for two cases: a sequence of identical shocks, and a sequence of pairs of shocks with alternating shock strength. How these two cases evolve to the asymptotic limit is examined, and it is shown that the evolution of the paired-shock case can be described by a sequence of identical shocks with shock strength equal to the mean of the two.

Type
High Energy Astrophysics
Copyright
Copyright © Astronomical Society of Australia 1994

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Achterberg, A., 1990a, In Physical Processes in Hot Cosmic Plasmas, Brinkman, W. et al. (eds), Kluwer, Dordrecht, pp. 67-80.Google Scholar
Achterberg, A., 1990b, A & A, 231, 251-8.Google Scholar
Berezinskii, V. S., et al. 1990, In Astrophysics of Cosmic Rays, Ginzburg, V. L. (ed.), North Holland, Amsterdam, Chapter 4.Google Scholar
Blandford, R. D. and Eichler, D. 1987, Phys. Rep., 154, 1-75.Google Scholar
Melrose, D. B. and Pope, M. H., 1993, Proc. Astron. Soc. Aust., 10, 222-4.CrossRefGoogle Scholar
Morse, P. M. and Feshbach, H., 1953, Methods of Theoretical Physics Vol. 1, McGraw-Hill, New York, p. 469.Google Scholar
Schneider, P., 1993, A & A, 278, 315-27.Google Scholar
White, R. L., 1985, ApJ, 289, 698708.Google Scholar