Emitting electrons spectra and acceleration processes in the jet of Mrk 421: from low state to giant flare state

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 state; and (2) the LP model gives better fits compared to the PLC model for the SED in flare state, and the intra-day/night variability observed at GeV-TeV bands can be accommodated only in the LP model. The giant flare may be attributed to the stochastic turbulence re-acceleration of the shock accelerated electrons in low state. Therefore, we may conclude that shock acceleration is dominant in low state, while stochastic turbulence acceleration is dominant in flare state. Moreover, our result shows that the extrapolated TeV spectra from the best-fit SEDs from optical through GeV with the two EEDs are different. It should be considered in caution when such extrapolated TeV spectra are used to constrain extragalactic background light (EBL) models.