Time evolution of the electron distribution with EMBLEM (full lines) from t = 0 to t = t_growth = 75 r_g/c injecting a κ distribution with Θ_e = 10, κ = 4, and ṅ_e = 5.10⁶/t_growth. The magnetic field strength is set to 30 Gauss, resulting in a stationary regime for γ > 10⁴ from the very beginning. This regime extends to lower γ values as time growths. To estimate the peak flux, we approximated the whole distribution (at t = t_growth) by a simple Dirac at represented by the dashed gray line.