The interaction of long-wavelength compressive waves with a cosmic ray shock

Details The interaction of long-wavelength compressive waves with a cosmic ray shock The interaction of long-wavelength compressive waves with a cosmic ray shock

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987jplph..37..363z&link_type=abstract

Journal of Plasma Physics (ISSN 0022-3778), vol. 37, June 1987, p. 363-372. Research supported by the Council for Scientific and

Computer Science

Numerical Analysis

3

Cosmic Rays, Long Wave Radiation, Perturbation Theory, Rankine-Hugoniot Relation, Shock Waves, Magnetohydrodynamic Waves, Numerical Analysis, Supersonic Flow

Scientific paper

This paper investigates the stability of a cosmic-ray shock to long-wavelength perturbations. The problem is formulated in terms of finding the transmission coefficient for compressive waves across a cosmic-ray shock by solving the generalized two-fluid Rankine-Hugoniot relations. For strong shocks, the transmission coefficient confirms that compressive waves can undergo considerable amplification on passage through such shocks. The resonances of the transmission coefficient provide the dispersion equation governing the stability of the shock to long-wavelength ripplelike distortions. By using the principle of the argument method, it is established that cosmic-ray shocks are stable.

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