Emitting electrons spectra and acceleration processes in the jet of Mrk 421: from low state to giant flare state
Dahai Yan, Li Zhang, Qiang Yuan, Zhonghui Fan, Houdun Zeng

TL;DR
This study models the electron energy distributions in Mrk 421's jet during different activity states, revealing shock acceleration dominates in low states while stochastic turbulence acceleration is key during giant flares, affecting TeV spectrum extrapolations.
Contribution
It compares shock and turbulence acceleration models in fitting Mrk 421's spectral energy distributions across activity states using MCMC, highlighting the dominant processes in each state.
Findings
Shock acceleration explains low state variability.
Stochastic turbulence better fits flare state spectra.
TeV spectrum extrapolations vary significantly between models.
Abstract
We investigate the electron energy distributions (EEDs) and the acceleration processes in the jet of Mrk 421 through fitting the spectral energy distributions (SEDs) in different active states in the frame of a one-zone synchrotron self-Compton (SSC) model. After assuming two possible EEDs formed in different acceleration models: the shock accelerated power-law with exponential cut-off (PLC) EED and the stochastic turbulence accelerated log-parabolic (LP) EED, we fit the observed SEDs of Mrk 421 in both low and giant flare states by using the Markov Chain Monte Carlo (MCMC) method which constrains the model parameters in a more efficient way. Our calculating results indicate that (1) the PLC and LP models give comparably good fits for the SED in low state, but the variations of model parameters from low state to flaring can be reasonably explained only in the case of the PLC in low…
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