Particle transport at relativistic shocks

Astronomy and Astrophysics – Astrophysics

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Turbulence, Magnetic Fields, Particle Diffusion

Scientific paper

Relativistic shocks structure studied in recent analytical works and large Particle-In-Cell (PIC) simulations reports the existence of strong self-generated magnetic fields at the proximity of the shock front. These fields are generated by plasma instabilities (e.g. Weibel instability) and are turbulent on plasma skin depth scale. In this proceeding we present the study of particle transport in microturbulent isotropic magnetic field δ {B} in the presence of external mean field {B}_0, assuming < δ B^2 > ≫ B_0^2. The expression of parallel (D_{∥}) and transverse (D_{⊥}) diffusion coefficients are found. We find that D_{∥} evolves as the square of particle energy and D_{⊥} saturates when particle reduced rigidity ρ is greater then δ B / B_0. Application to relativistic shocks upstream and downstream regions shows that the acceleration by Fermi mechanism is possible only for the range of particle rigidities where 1 < ρ < &delta B / B_0.

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