Stochastic Acceleration and the Evolution of Spectral Distributions in SSC Sources: A Self Consistent Modeling of Blazars' Flares

Understand

The broad-band spectral distributions of non-thermal sources, such as those of several known blazars, are well described by a log-parabolic fit.

• The second degree term in these fits measures the curvature in the spectrum.
• In this paper we investigate whether the curvature parameter observed in the spectra of the synchrotron emission can be used as a fingerprint of stochastic acceleration.
• As a first approach we use the multiplicative Central Limit theorem to show how fluctuations in the energy gain result in the broadening of the spectral shape, introducing a curvature into the energy distribution.