A numerical study of the interplay between <i>Fermi</i> acceleration mechanisms in radio lobes of FR-II radio galaxies

Context: Radio-loud AGNs are thought to possess various sites of particle acceleration, which gives rise the observed non-thermal spectra. Stochastic turbulent acceleration (STA) and diffusive shock (DSA) commonly cited as potential sources high-energy particles in weakly magnetized environments. Together, these processes radiative losses determine emission characteristics extra-galactic radio sources. Aims: The purpose this research is investigate dynamical interplay between STA DSA lobes FR-II galaxies, well manner mechanisms, along with a variety losses, collectively shape features seen Methods: A phenomenologically motivated model considered subsequently employed on magneto-hydrodynamically simulated lobe through novel hybrid Eulerian-Lagrangian framework. Results: curved spectrum that morphologically different from usual shock-accelerated spectrum. As consequence structural difference underlying energy spectrum, multi-wavelength arise spectral distribution lobe. Additionally, we observe enhanced diffuse X-ray for cases where taken into account addition DSA.