Diffusion of cosmic rays in non-thermal radio sources

Details Diffusion of cosmic rays in non-thermal radio sources Diffusion of cosmic rays in non-thermal radio sources

Sep 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975a%26a....43....1w&link_type=abstract

Astronomy and Astrophysics, vol. 43, no. 1, Sept. 1975, p. 1-12.

Astronomy and Astrophysics

Astronomy

20

Cosmic Rays, Crab Nebula, Nonthermal Radiation, Particle Diffusion, Radio Sources (Astronomy), Astronomical Models, Diffuse Radiation, Electron Density (Concentration), Energy Dissipation, Ionized Gases, Magnetic Fields, Relativistic Particles, Synchrotron Radiation, Time Dependence, X Ray Astronomy

Scientific paper

Spherically symmetric models are analyzed for extended nonthermal radio sources in which relativistic particles are generated by a compact central source and diffuse while losing energy by various processes. The relativistic-electron density is calculated taking account of diffusion coefficients and energy-loss rates that may be functions of energy, position, and time. Problems in which the diffusion coefficient and energy-loss rate are functions of energy and time are solved, steady-state solutions in which those parameters depend on energy and position are examined, and the relativistic-electron density is obtained by a formal solution of the diffusion-loss equation. Synchotron spectra are computed as a function of radius for representative energy and position dependences of the parameters, and the form of the integrated emission spectrum is determined. It is shown that the integrated spectrum of the Crab nebula from radio to X-rays may be explained in terms of continuous injection of relativistic electrons with a power-law spectrum over the whole range of energies into a magnetic field that decreases linearly with distance.

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