Non-linear Cosmic-ray Transport in Enhanced Compressive Wave Turbulence at the Termination Shock

Physics

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2104 Cosmic Rays, 2124 Heliopause And Solar Wind Termination, 2149 Mhd Waves And Turbulence, 2152 Pickup Ions

Scientific paper

Provided that the termination shock is significantly modified by the anomalous cosmic-ray (ACR) component, strong ion-acoustic wave turbulence might be generated by the ACR cosmic-ray pressure gradient at the termination shock. Under such conditions standard quasi-linear theory (QLT) needs to be extended to a non-linear level to treat particle trajectories which are diffusive instead of being undisturbed gyro orbits on a turbulence correlation scale. We present such a non-linear diffusive kinetic theory for suprathermal particle transport along the large-scale magnetic field in the presence of strong compressive wave turbulence with small-scale Alfven waves. We show that the standard cosmic-ray transport equation needs to be modified at low suprathermal energies because of the fundamentally altered nature of spatial diffusion, modifications to convection and adiabatic energy changes due to the compressive wave turbulence, and the additional occurrence of effective stochastic acceleration by the compressive wave turbulence which produces particle spectra with a hard power law at low suprathermal energies and with a rollover at higher energies. This acceleration might lead to efficient injection of pickup ions into diffusive shock acceleration described by standard theory at the termination shock.

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