Physics
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985icrc....3..111z&link_type=abstract
In NASA. Goddard Space Flight Center 19th Intern. Cosmic Ray Conf., Vol. 3 p 111-114 (SEE N85-34862 23-93)
Physics
1
Cosmic Rays, Deceleration, Shock Waves, Stability, Supersonic Flow, Models, Perturbation, Plasmas (Physics), Wavelengths
Scientific paper
The nature of instabilities in cosmic ray shocks is investigated by using two distinct models for the shock wave. For wavelengths which are short relative to the thickness of the shock wave, the shock is treated as a smoothly decelerating low, and an appropriate JWKB type expansion is used to describe the perturbations to the flow. In this, the short wavelength regime, the presence of squeezing and an effective g renders strong cosmic ray shocks unstable in a way which is similar to instabilities in other supersonic flows, such as in de Laval nozzle flow or a heat conduction dominated shock wave. In the long wavelength limit, where the shock is treated as a discontinuous transition, a stability function is derived which, if negative, corresponds to unstable disturbances growing exponentially in time. In this case, it was found that if the cosmic ray fluid is relativistic (gammac = 4/3) and the background plasma ideal (gamma = 5/3), then strong shocks are unstable.
McKenzie James F.
Zank A. P.
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