Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.105....1k&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 105, no. 1, Oct. 1984, p. 1-21.
Astronomy and Astrophysics
Astronomy
Nonuniform Magnetic Fields, Particle Diffusion, Radio Sources (Astronomy), Radio Spectra, Asymptotes, Diffusion Theory, Electron Distribution, Synchrotron Radiation
Scientific paper
On the basis of an analytical solution of the diffusion-type kinetic equation for electrons, electron distributions and radiation spectra have been found which result from a hard injection of particles in sources of the 'core halo' type, characterized by spatially nonuniform magnetic fields and diffusion parameters. Such radio sources are shown to possess nonlinear radiation spectra containing universal (α = 0.5) and diffusion-controlled power-law sections shaped by synchrotron losses, spatial diffusion and radiation conditions of the electrons. The diffusion-controlled sections can be described by spectral indices 0.5 ≤ α < 1, if the magnetic field decreases towards the source edge, and by α < 0.5 where the magnetic field increases.
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