Relativistic jets, fast and collimated outflows that propagate over large distances, are commonly observed in various astrophysical objects, including active galactic nuclei (AGN), microquasars, and pulsars. These jets exhibit variability, which we study through scenarios involving complex periodic and flicker noise. Our goal is to deepen our understanding of the underlying physics of these observed variabilities.
To achieve this, we use special relativistic simulations. In particular, we use the AMRVAC code to handle the fluid dynamics and follow the evolution of the electron population. In addition, we analyze and interpret synthetic images from radio to X-ray using the REPTIDE code. Our investigation focuses on the dynamics of variable jets, and our results show for the first time that rapid jet variability can lead to the development of large quasi-steady shocks.