Expanding one-zone model for blazar emission

Context.Blazars, a sub-category of Active Galactic Nuclei, are characterized by their non-thermal variable emission. This emission extends over the whole electromagnetic spectrum and is consequence particle acceleration inside relativistic jets. However, especially relation radio to that at higher frequencies remains an open question. Aims. Observations blazar show location might be very different from one where rest produced often requires separate modeling. We aim produce both emissions within context model. Methods. construct self-consistent one-zone expanding leptonic model for studying connection between we apply it flaring states blazars. Assuming accelerating episode as source moves down jet expands, numerically study electron evolution they lose energy due adiabatic expansion synchrotron/inverse Compton radiation. Results. find high-frequency radiation mimics injection mainly close site cooling strong. In contrast, further when emitting region has become optically thin synchrotron self-absorption expansion. present briefly role initial parameters, such magnetic field strength, luminosity velocity, on localization site. inherently non-expanding and, in addition, more parameters. For example, our approach observational data Mrk 421 $\gamma$-ray - flare observed 2013.