A Continuous Injection Plasma Model for the X-Ray/Radio Knots in Kiloparsec-Scale Jets of Active Galactic Nuclei

We consider the evolution of a spherically expanding plasma cloud, where there is a continuous injection of nonthermal electrons. We compute the time-dependent electron distribution and resultant photon spectra taking into account synchrotron, adiabatic, and inverse Compton cooling. This model is different from previous works where, instead of a continuous injection of particles, a short injection period was assumed. We apply this model to the radio/optical knots in the large-scale jets of active galactic nuclei, detected in X-rays by Chandra, and find that the overall broadband spectral features can be reproduced. It is shown that for some sources, constraints on the X-ray spectral index (by a longer Chandra observation) will be able to differentiate between the different models. This in turn will put a strong constraint on the acceleration mechanism active in these sources.