Gamma-ray bursts (GRBs) and active galactic nuclei (AGNs) launch plasma outflows moving at nearly the speed of light from their central engines, and they create relativistic shock waves. Due to their extreme energies, these shocks are expected to accelerate particles via first-order Fermi acceleration, in which particles gain energy by repeatedly crossing the shock front, potentially explaining the origin of cosmic rays, especially ultra-high-energy cosmic rays.
However, whether charged particles can indeed be efficiently accelerated at relativistic shocks remains under debate. A key condition for such acceleration is the presence of strong magnetic turbulence around the shock, which allows particles to be scattered and cross the shock multiple times. Yet, the physical mechanism that generates such intense turbulence is still poorly understood.
In this study, we investigate a scenario where turbulence is driven downstream of the shock through the interaction between the shock front and density fluctuations pre-existing in the upstream medium. We perform 3D relativistic magnetohydrodynamic (MHD) simulations to model the turbulent structure, followed by test-particle simulations to trace particle trajectories in the resulting fields.
Our results show that strong magnetic turbulence develops in the downstream region, where the magnetic field is amplified by the turbulence through the small-scale dynamo, leading to efficient shock acceleration by particle scattering.
In my talk, we will discuss the conditions under which particle acceleration occurs, the nature of acceleration within magnetic turbulence, and the properties of the generated turbulence in comparison with GRB observations.