
Non‐linear particle acceleration at non‐relativistic shock waves in the presence of self‐generated turbulence
Author(s) -
Amato E.,
Blasi P.
Publication year - 2006
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1111/j.1365-2966.2006.10739.x
Subject(s) - physics , particle acceleration , acceleration , shock wave , shock (circulatory) , instability , particle (ecology) , turbulence , classical mechanics , relativistic particle , charged particle , shock waves in astrophysics , mechanics , diffusion , computational physics , nuclear physics , electron , quantum mechanics , ion , medicine , oceanography , geology
Particle acceleration at astrophysical shocks may be very efficient if magnetic scattering is self‐generated by the same particles. This non‐linear process adds to the non‐linear modification of the shock due to the dynamical reaction of the accelerated particles on the shock. Building on a previous general solution of the problem of particle acceleration with arbitrary diffusion coefficients, we present here the first semi‐analytical calculation of particle acceleration with both effects taken into account at the same time; charged particles are accelerated in the background of Alfvén waves that they generate due to the streaming instability, and modify the dynamics of the plasma in the shock vicinity.