A three-fluid model of the solar wind termination shock including a continuous production of anomalous cosmic rays

We have formulated and numerically solved a set of differential equations describing the consistent dynamic and thermodynamic interaction of a coupled three-fluid plasma system in the region close to the solar wind termination shock. The three separate fluids are the solar wind plasma, the pick-up ions, and the anomalous cosmic rays which we consider as coupled in this region by electromagnetic induction forces and by linear and nonlinear interactions with local wave turbulences. Here we treat the case of a continuous energy input into the anomalous cosmic ray fluid connected with the local pick-up ion pressure and the solar wind velocity gradient. As free parameters within this concept we have to keep the average energy of the anomalous post-shock plasma and the total conversion efficiency of pick-up ions into anomalous cosmic ray particles. Related with these parameters solutions for the resulting shock structure can be obtained which are shown in terms of compression ratios, entropy generations, post-shock temperatures and post-shock pressures. It becomes evident that higher ratios of pick-up ion-over solar wind ion- densities shall definitely weaken the subshock and lower the conversion efficiency, on the other hand increased energy input rates into the anomalous plasma regime connected with higher conversion efficiencies and pick-up ion fluxes shall also strengthen the shock modification and shall increase the total compression ratios. As we show solutions can be found both with and without an existing subshock.