M. Mond et Lo. Drury, ACOUSTIC-EMISSION AND COROTATIONAL INSTABILITY OF SHOCKS MODIFIED BY STRONG PARTICLE-ACCELERATION, Astronomy and astrophysics, 332(1), 1998, pp. 385-390
The effect of particles that undergo strong diffusive-shock-accelerati
on on the stability of the accelerating shock is investigated. A two-f
luid model is employed in which the accelerated particles are treated
as a fluid whose effect is incorporated as an additional pressure in t
he momentum equation. The Dyakov and Kontorovich stability criteria ar
e used in order to study the stability of those steady-state shocks th
at contain a gas sub-shock. The downstream conditions of the latter ar
e parametrized by the ratio of the upstream acclerated-particles press
ure to the total pressure. For some range of values of that parameter,
three possible downstream states are possible for each upstream state
. It is shown that in that range of parameters the shocks are either c
orrugationally unstable or lose their energy by spontaneous emission o
f acoustic as well as entropy-vortex waves.