The energy spectrum of electrons accelerated by weak magnetohydrodynamic turbulence

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Energy Spectra, Extragalactic Radio Sources, Magnetohydrodynamic Turbulence, Particle Acceleration, Relativistic Electron Beams, Electron Energy, Energy Dissipation, Graphs (Charts), Nonlinear Equations, Steady State

Scientific paper

The acceleration of electrons in extragalactic radio-sources is considered. It is shown that acceleration by small-amplitude magnetohydrodynamic wave-turbulence in a uniform magnetic field results in a unique, steady-state distribution of relativistic electrons when the total fast-particle energy exceeds some minimum value, determined by wave damping. The steady-state distribution is a power law, and the index depends only on the ratio of energy-inputs into turbulence and relativistic electrons. It is also shown, that the efficiency of the accelerations is determined by the maximum wavenumber available in the spectrum of the turbulence.

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