An alternative to in situ acceleration processes in extragalactic radio sources

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Electron Radiation, Extragalactic Radio Sources, High Energy Electrons, Radio Spectra, Synchrotron Radiation, Angular Distribution, Boltzmann Transport Equation, Energy Spectra, Pitch (Inclination), Relativistic Particles

Scientific paper

The Boltzmann equation for cosmic-ray transport derived by Earl and modified to include terms describing synchrotron radiation losses (Bieber) has been applied to the problem of relativistic electron transport in extended extragalactic radio sources. We consider the evolution of a field-directed, anisotropic pitch angle distribution, and seek a solution which would eliminate radio spectral index gradients. A solution to the equation has been found which is triply separable in position, pitch angle, and energy. This solution predicts a radio spectral index gradient which is identically zero. For conditions appropriate to extragalactic radio sources, the constants in the differential equations yield solutions which are both self-consistent and in approximate agreement with observations.

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