  Blazars, a class of active galaxies whose jets are relativistic and
collimated flows of plasma directed along the line of sight and are prone to a
slew of magneto-hydrodynamic (MHD) instabilities. We aim to study the interplay
of radiation and particle acceleration processes in regulating the multi-band
emission and variability signatures from blazars. In particular, the goal is to
decipher the impact of shocks arising due to MHD instabilities in driving the
longterm variable emission signatures from blazars. In this regard, we have
performed RMHD simulations of a representative section of blazar jet. The jet
is evolved using a hybrid Eulerian-Lagrangian framework to account for
radiative losses due to synchrotron process and particle acceleration due to
shocks. Additionally, we have incorporated and validated radiative losses due
to the external Compton (EC) process that are relevant for blazars. We have
further compared the effects of different radiation mechanisms through
numerical simulation of 2D slab jet as a validation test. Finally, we have
carried out a parametric study to quantify the effect of magnetic fields and
external radiation field characteristics by performing 3D simulations of a
plasma column. The synthetic light curves and spectral energy distribution
(SEDs) are analysed to qualitatively understand the impact of instability
driven shocks. We observe that shocks produced with the evolution of
instabilities give rise to flaring signatures in the high energy band. The
impact of such shocks is also evident from the instantaneous flattening of the
synchrotron component of the SEDs. At later stages, we observe the transition
in X-ray emission from the synchrotron process to that dominated by EC. The
inclusion of the EC process also gives rise to gamma-ray emission and shows
signatures of mild Compton dominance as typically seen in Low Synchrotron
Peaked blazars.
