Ion acceleration in connection with a modulated solar wind termination shock: phase space propagation and complete energy spectra

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Sun: Solar Wind, Inteplanetary Medium, Ism: Cosmic Rays, Acceleration Of Particles, Shock Waves, Turbulence

Scientific paper

Using the general kinetic transport equation for cosmic ray particles the energization of heliospheric pick-up ions (PUI's) to Anomalous Cosmic Ray particles (ACR's) by means of non-linear wave-particle interactions is described. After creation of PUI's with initial energies of 1 keV/nuc they undergo phase space diffusion by Fermi-1 and Fermi-2 scattering processes in the heliosphere and at the termination shock and eventually appear as ACR's in the 10 MeV/nuc energy regime for which spatial diffusion becomes important. We present ion energy spectra derived from a fully consistent theoretical context and covering the range from 1 keV/nuc to 100 MeV/nuc. Our solutions of the kinetic transport equation reflect the effect of simultaneous operations of convective and diffusive transport processes in heliospheric phase space. As demonstrated in our calculations the kick-up from pick-up's to ACR's in our approach completely works on known physical grounds with no need to prescribe a specific injection of seed ACR's at the shock. The spectra resulting near the termination shock are far from being pure power-laws as is expected in classical shock acceleration theories. Thus the idea to start from measured VOYAGER ACR spectra and to apply a necessary demodulation up to a pure power-law cannot be used to find the shock location.

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