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We investigate the X-ray and $\gamma$-ray flares of Mrk 421 on 2008 June 6-15using the synchrotron self- Compton(SSC) model with electron acceleration, inwhich an evident correlation between the X-ray and $\gamma$-ray bands appears,while no significant correlation between the optical and X-ray band isobserved. We argue that the emission from Mrk 421 may originate from twodifferent components. One is the steady component from the outer region that ismainly attributed to the optical band, in which the electrons are acceleratedby first-order Fermi acceleration mechanism. We use a steady electron spectrumto produce the synchrotron self-Compton emission. The other is the variablecomponent from the inner region, in which the electrons are accelerated by thestochastic acceleration process. We use the time-dependent SSC model to producethe emission from the variable component. We suggest that the flares are due tothe hardening of the electron spectrum under the process of the stochasticacceleration, which leads to the hardening of the observed spectrum in theX-ray and $\gamma$-ray bands. Furthermore, we find that the energy densities ofelectrons and magnetic fields are near equipartition in both jet regions.

Particle Acceleration And Emission Processes In Mrk 421