Journal
ASTROPHYSICAL JOURNAL
Volume 789, Issue 2, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0004-637X/789/2/137
Keywords
acceleration of particles; cosmic rays; ISM: supernova remnants; magnetohydrodynamics (MHD); shock waves; turbulence
Categories
Funding
- NASA [NNX11AE03G]
- Russian Academy of Sciences OFN 15 Program
- Russian Academy of Sciences Presidium Program
- RBRF [14-02-31721]
- NASA [148561, NNX11AE03G] Funding Source: Federal RePORTER
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We present a nonlinear Monte Carlo model of efficient diffusive shock acceleration where the magnetic turbulence responsible for particle diffusion is calculated self-consistently from the resonant cosmic-ray (CR) streaming instability, together with non-resonant short- and long-wavelength CR-current-driven instabilities. We include the backpressure from CRs interacting with the strongly amplified magnetic turbulence which decelerates and heats the super-Alfvenic flow in the extended shock precursor. Uniquely, in our plane-parallel, steady-state, multi-scale model, the full range of particles, from thermal (similar to eV) injected at the viscous subshock to the escape of the highest energy CRs (similar to PeV) from the shock precursor, are calculated consistently with the shock structure, precursor heating, magnetic field amplification, and scattering center drift relative to the background plasma. In addition, we show how the cascade of turbulence to shorter wavelengths influences the total shock compression, the downstream proton temperature, the magnetic fluctuation spectra, and accelerated particle spectra. A parameter survey is included where we vary shock parameters, the mode of magnetic turbulence generation, and turbulence cascading. From our survey results, we obtain scaling relations for the maximum particle momentum and amplified magnetic field as functions of shock speed, ambient density, and shock size.
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