On the role of injection in kinetic approaches to non‐linear particle acceleration at non‐relativistic shock waves

By S. Gabici, P. Blasi, G. Vannoni. 2005

168 citations recorded by the source corpus.

The dynamical reaction of the particles accelerated at a shock front by the first-order Fermi process can be determined within kinetic models that account for both the hydrodynamics of the shocked fluid and the transport of the accelerated particles. These models predict the appearance of multiple solutions, all physically allowed. We discuss here the role of injection in selecting the real solution, in the framework of a simple phenomenological recipe, which is a variation of what is sometimes referred to as thermal leakage. In this context we show that multiple solutions basically disappear and when they are present they are limited to rather peculiar values of the parameters. We also provide a quantitative calculation of the efficiency of particle acceleration at cosmic ray modified shocks and we identify the fraction of energy which is advected downstream and that of particles escaping the system from upstream infinity at the maximum momentum. The consequences of efficient particle acceleration for shock heating are also discussed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9074a9e4ade040f830b573c1e9bad8557e972d0f

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In Astronomy and Astrophysics

1. A. Spitkovsky
2. D. Caprioli
3. J. Vink
4. A. Bykov
5. D. Ellison
6. A. Vladimirov
7. J. C. Raymond
8. Y. Ohira

In Nuclear and High Energy Physics

1. A. Spitkovsky
2. D. Caprioli
3. J. Vink
4. A. Bykov
5. D. Ellison
6. A. Vladimirov
7. J. C. Raymond
8. Y. Ohira

Citations in the corpus

• Nonlinear Diffusive Shock Acceleration with Magnetic Field Amplification (2006, background): “…the most highly developed model of nonlinear DSAwith magnetic field amplification is that of Amato & Blasi (2006); work based on a series of papers by Blasi and coworkers (i.e., Blasi 2002, 2004; Blasi et al. 2005; Amato & Blasi 2005).9 We now give a detailed comparison between that model and ours.”
• Observational Signatures of Particle Acceleration in Supernova Remnants (2012, background): “Non-linear CR acceleration is thought to be accompanied by substantial escape of high energy particles upstream (e.g. Malkov and Drury, 2001; Blasi et al., 2005; Reville et al., 2009; Vink et al., 2010; Drury, 2011, the latter for a more nuanced view of escape).”
• SIMULATIONS OF ION ACCELERATION AT NON-RELATIVISTIC SHOCKS. I. ACCELERATION EFFICIENCY (2013, background): “…leakage model, which assumes that particles living sufficiently far in the tail of the downstream Maxwellian, and sufficiently close to the shock, have gyroradii large enough to recross the shock in one orbit (see, e.g., Ellison et al. 1981; Malkov 1997; Kang et al. 2002; Blasi et al. 2005).”
• The origin of galactic cosmic rays (2013, unknown): “8 (from Blasi et al. 2005), where the distribution function of particles (thermal plus accelerated) is plotted (multiplied by p4).”
• Cosmic-ray acceleration in supernova remnants: non-linear theory revised (2012, background): “[48], we assume that, immediately behind the shock, all the particles in the Maxwellian tail with a momentum larger than a critical pinj have a Larmor radius large enough to be able to cross the shock and return upstream [thermal leakage, see e.”