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By fitting high-quality and simultaneous multi-wavelength (MWL) spectralenergy distributions (SEDs) at multiple epochs with a one-zone leptonic jetmodel, we study jet properties of the three famous blazars Mrk 421, 3C 454.3and 3C 279. In the jet model, the emitting electron energy distributions (EEDs)are calculated by solving the kinetic equation of electron injection, escape,adiabatic and radiative energy losses. To explore multi-dimensional parameterspace systematically, we employ a Markov chain Monte Carlo (MCMC) fittingtechnique. The properties of emission regions we derived here are consistentwith those in previous studies, e.g., the particle-dominated andlow-magnetization jet. The new finding is that there is a tight correlationbetween $\gamma$-ray luminosity and electron injection power and ananti-correlation between $\gamma$-ray luminosity and jet magnetizationparameter. The results suggest that same energy-dissipative mechanism (like ashock) could be operating in the jets of different types of blazars, and theorigin of $\gamma$-ray flares is associated with the particle accelerationprocess.

monthly notices of the royal astronomical society

Correlations between $\gamma$-ray luminosity and magnetization of the  jet as well as relativistic electron injection power:cases for Mrk 421, 3C  454.3 and 3C 279