A kinetic approach to cosmic-ray-induced streaming instability at supernova shocks
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We show that a purely kinetic approach to the excitation of waves by cosmic rays in the vicinity of a shock front leads to predict the appearance of a non-Alfvenic fast-growing mode which has the same dispersion relation as that previously found by Bell in 2004 by treating the plasma in the magnetohydrodynamic approximation. The kinetic approach allows us to investigate the dependence of the dispersion relation of these waves on the microphysics of the current which compensates the cosmic ray flow. We also show that a resonant and a non-resonant mode may appear at the same time and one of the two may become dominant on the other depending on the conditions in the acceleration region. We discuss the role of the unstable modes for magnetic field amplification and particle acceleration in supernova remnants at different stages of the remnant evolution.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/415fe23029f1a5ecd316112a7cd1b1e729cb14b4
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Citations in the corpus
- The Astrophysics of Ultrahigh-Energy Cosmic Rays (2011, unknown): “More detailed work was conducted by, e.g., McKenzie & Voelk (1982); Berezhko & Ellison (1999); Lucek & Bell (2000); Malkov & O’C Drury (2001); Bell & Lucek (2001); Bell (2004); Amato & Blasi (2005, 2006, 2009); Zirakashvili et al. (2008); Reville et al. (2008).”
- Strong evidence for hadron acceleration in Tycho’s supernova remnant (2011, methodology): “The relative importance of resonant and non-resonant modes has been investigated within a kinetic approach by Amato & Blasi (2009), who found that for young, strong shocks also non-resonant modes may play a nonnegligible role.”
- WEIBEL, TWO-STREAM, FILAMENTATION, OBLIQUE, BELL, BUNEMAN...WHICH ONE GROWS FASTER? (2009, background): “(12) A straightforward calculation from the general dispersion relation for circularly polarized wave with such wave vectors (Ichimaru 1973; Achterberg 1983; Amato & Blasi 2009) yields the very same result.”
- The origin of galactic cosmic rays (2013, unknown): “9, taken from a paper by Amato and Blasi (2009).”
- SIMULATIONS OF ION ACCELERATION AT NON-RELATIVISTIC SHOCKS. II. MAGNETIC FIELD AMPLIFICATION (2014, background): “This means that in precursors of shocks with MA W/ √ ξcr ≈ 30 the NRH instability grows faster than the resonant one (see also Amato & Blasi 2009).”