The broadband SEDs of blazars exhibit two broad spectral components , which in leptonic emission models are attributed to synchrotron radiation and synchrotron self-Compton ( SSC ) radiation of relativistic electrons .
During high state phases , the high-frequency SSC component often dominates the low-frequency synchrotron component , implying that the inverse Compton SSC losses of electrons are at least equal to or greater than the synchrotron losses of electrons .
We calculate from the analytical solution of the kinetic equation of relativistic electrons , subject to the combined linear synchrotron and nonlinear synchrotron self-Compton cooling , for monoenergetic injection the time-integrated total synchrotron and SSC radiation fluences and spectral energy distributions ( SED ) .
Depending on the ratio of the initial cooling terms , displayed by the injection parameter \alpha , we find for \alpha \ll 1 , implying complete linear cooling , that the synchrotron peak dominates the inverse Compton peak and the usual results of the spectra are recovered .
For \alpha \gg 1 the SSC peak dominates the synchrotron peak , proving our assumption that in such a case the cooling becomes initially non-linear .
The spectra also show some unique features , which can be attributed directly to the non-linear cooling .
To show the potential of the model , we apply it to outbursts of 3C 279 and 3C 454.3 , successfully reproducing the SEDs .
The results of our analysis are promising , and we argue that this non-equilibrium model should be considered in future modeling attempts for blazar flares .