Wave Dynamics and Particle Acceleration in Shock Precursors

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Shock Waves, Cosmic Rays, Particle Accelerators, Interplanetary Magnetic Fields, Partial Differential Equations, Planetary Bow Shocks, Interplanetary Shocks, Cosmic Rays, Particle Acceleration, Interplanetary Magnetic Fields, Partial Differential Equations

Scientific paper

Cosmic ray protons accelerated in strong shocks are known to drive various instabilities in the shock precursor. An acoustic instability of the shock precursor driven by the pressure gradient of accelerated particles is studied in the nonlinear regime. After nonlinear steepening of the unstable waves an ensemble of discontinuities, a shocktrain, is created. Traveling wave solutions are obtained analytically and verified dynamically by numerical calculations. By compressing both an ambient and turbulent magnetic fields, and by generating the flow vorticity, the shocktrains not only amplify the magnetic field but also form distinct magnetic structures. These structures change the transport regime of accelerated particles from diffusive (quasi-linear regime) at lower momenta to fractionally kinetic (Levy flights and traps) over an extended momentum interval below the spectrum cut-off. As a result, a spectral break should form, typically at sub-Tev energies and some of the particles of higher energies escape upstream before they reach the cut-off momentum.

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