The spectrum of relativistic particles accelerated in a Fermi reservoir

Details The spectrum of relativistic particles accelerated in a Fermi reservoir The spectrum of relativistic particles accelerated in a Fermi reservoir

Dec 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975a%26a....45..435b&link_type=abstract

Astronomy and Astrophysics, vol. 45, no. 2, Dec. 1975, p. 435-438.

Astronomy and Astrophysics

Astronomy

18

Particle Acceleration, Power Spectra, Radio Sources (Astronomy), Relativistic Particles, Stochastic Processes, Astronomical Models, Cosmic Rays, Energy Spectra, Galactic Radiation, Supernova Remnants, Turbulence Effects

Scientific paper

The model for the formation of power law spectra of relativistic particles by Fermi acceleration is modified, leading to a stationary condition in which the spectral index of radio source is dependent on the relative rates at which energy is injected into the accelerating region in the forms of turbulence and low energy relativistic particles. The ratio of a time scale for the acceleration of relativistic particles to a time scale for their escape from the containment present in the simple model proposed by Fermi (1949, 1954) is replaced by the ratio alpha (relativistic particle input/turbulence input); the original requirement that the spectral index be between 2 and 3 is replaced by the requirement that alpha be near unity. The modified model readily explains the observed range of spectral indices of radio sources.

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