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Cosmic Ray Acceleration by Shocks: Spectral Steepening Due to Turbulent Magnetic Field Amplification

Monthly Notices of the Royal Astronomical Society(2019)

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Abstract
We show that the energy required to turbulently amplify magnetic field during cosmic ray (CR) acceleration by shocks extracts energy from the CR and steepens the CR energy spectrum.
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Key words
acceleration of particles,magnetic fields,shock waves,cosmic rays
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