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 α, we find for α≪1, implying complete linear cooling, that the synchrotron peak dominates the
inverse Compton peak and the usual results of the spectra are recovered. For
α≫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.Comment: accepted by MNRAS, 32 pages (single column), 7 figure