Sv. Chalov et Hj. Fahr, A 2-FLUID MODEL OF THE SOLAR-WIND TERMINATION SHOCK MODIFIED BY SHOCK-GENERATED COSMIC-RAYS INCLUDING ENERGY-LOSSES, Astronomy and astrophysics, 288(3), 1994, pp. 973-980
We consider the formation of the heliospheric termination shock in a t
wo-fluid approximation including the self-consistent dynamic interacti
on of the thermal solar wind ion plasma and a shock-generated high ene
rgy cosmic ray gas representing the so-called anomalous cosmic ray com
ponent. Due to the diffusive interaction of the two media an extended
structure of the shock is formed consisting of a precursor region and
a gas dynamic sub-shock. Pick-up ions, convected with the thermal plas
ma to the sub-shock, at a fraction eta serve there as a seed for high
energy particles which by first order Fermi acceleration in the shock-
induced wave turbulences are energized from KeV- to MeV-energies. Here
we treat in a consistent manner the spatial diffusion of such high en
ergy particles in the resulting solar wind flow structure and therefor
e solve a coupled system of differential equations adequately describi
ng mass-, momentum-, and energy-flow continuities for both the low and
the high energy plasma component. The energy loss due to the leakage
of high energy particles upstream from the shock structure is taken in
to account. In the results we then can show how the shock-generated, e
nergetic cosmic ray particles influence the structure of the shock. We
demonstrate the variation of the compression ratio in the termination
shock as function of the conversion efficiency eta and on the mean en
ergy of the shock-generated cosmic ray particles. Furthermore we discu
ss the influence of the energy loss due to the upstream leakage of sho
ck-generated, high energy particles on the dimension of the heliosheat
h plasma, i.e. on the distance between the termination shock and the h
eliopause. As it turns out from our calculations the upwind heliosheat
h dimension can be reduced by up to 25 percent for high conversion eff
iciencies.