“…The transport of isotropically distributed suprathermal protons in the IHS is governed by five physical processes, namely, convection with the solar wind velocity , magnetic cooling [ Fahr , ; Fahr and Siewert , , , Fahr and Fichtner , ]), diffusion in velocity space, and injection as well as loss due to charge exchange. In a very good approximation one can consider the plasma in the IHS to be incompressible, i.e., for the solar wind velocity field [ Czechowski et al , ], which is a consequence of its rather low Mach number M ≤0.1 [e.g., Siewert et al , ; Fahr and Siewert , ]. This implies that the adiabatic cooling vanishes.…”