Low frequency asymptotic spectra of multiple, decelerating adiabatic bursts

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Spectroscopy, Bl Lacertae Objects, Extragalactic Radio Sources, Quasars, Radio Bursts, Synchrotron Radiation, Adiabatic Equations, Asymptotic Series, High Energy Electrons, Radio Galaxies, Radio Spectra, Seyfert Galaxies, Very Long Base Interferometry

Scientific paper

The limiting spectral slope reached by an infinite series of independent, synchrotron self-absorbed and adiabatically expanding bursts of high energy electrons is considered in a way that makes allowance for burst deceleration. The algebraic expressions derived for the low frequency asymptotic spectral slopes that result from the crowding of bursts, as they evolve in the (log S, log v) plane, show that flat spectra can be reproduced for reasonable deceleration parameter values. The model is applied to the flat spectrum BL Lac object PKS 0735+178, as constrained by VLBI observations at 5 GHz.

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