  This study investigates the complex dynamics of AGN (Active Galactic Nucleus)
jet-cloud interactions, particularly focusing on the impact of non-thermal
particle acceleration on the resulting radiative signatures. We utilize
advanced computational simulations, tracking changes in jet properties and
emissions over a span of 0.2 Myr (millions of years). The research design
incorporates the modeling of jet-cloud interactions, with a key focus on
variations in the jet's density, velocity, and magnetic field. Findings reveal
a two-fold increase in the magnetic field strength up to ~5 {\mu}G due to cloud
incorporation, which, coupled with an elevated non-thermal particle population,
enhances synchrotron emissions, shifting the spectral index from 2.2 to 2.4.
Inverse Compton scattering saw a 30% increase within the first 0.125 Myr,
reflecting in an abrupt X-ray and gamma-ray emissions spike. Furthermore, the
jet's light curve flux variability in the X-ray band showcased an initial peak
increase of about 28% by 0.175 Myr, settling to a 20% increase by 0.2 Myr,
attributable to cloud disruption and absorption. Conclusions drawn from these
findings confirm our hypothesis that non-thermal particle acceleration
dramatically influences the radiative signatures of AGN jet-cloud interactions
.It underscores the necessity of considering such acceleration processes in
modeling AGN jet-cloud interactions and posits that these changes could be
instrumental as observational indicators, thereby contributing to more accurate
interpretations of AGN activity and evolution.
