Abstract
Abstract We show that the Bell instability, which is widely considered potentially important for cosmic-ray (CR) acceleration, is the low-frequency limit of a gyroresonant interaction between the protons of the interstellar medium and shear-Alfvén waves. At large CR current densities, its growth rate is therefore limited by the proton gyrofrequency, and two modes emerge from the cold-beam dispersion relation. A third mode driven by electron gyroresonance is only weakly unstable at low current densities. We discuss implications for magnetic field amplification and its saturation in the vicinity of supernova remnants.
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