First-order Fermi acceleration in spherically symmetric flows - Solutions including quadratic losses

Details First-order Fermi acceleration in spherically symmetric flows - Solutions including quadratic losses First-order Fermi acceleration in spherically symmetric flows - Solutions including quadratic losses

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...397...88b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 397, no. 1, p. 88-116.

Physics

Plasma Physics

14

Cooling Flows (Astrophysics), Green'S Functions, Particle Acceleration, Radio Sources (Astronomy), Relativistic Particles, Electrons, Galactic Clusters, Plasma Physics, Radio Emission, Relativity, Synchrotron Radiation

Scientific paper

The steady state transport of relativistic particles expelled by a source located at a fixed radius in a spherical background flow of scatterers is examined. It is found that bulk motions play a dual role in controlling both the spatial transport and the energization of the relativistic particle diffusing through the background plasma. An exact expression is derived for the Green's function corresponding to the continual injection of monoenergetic particles from a source at an arbitrary radius. The behavior of this solution is examined in detail for the special case of momentum-independent diffusion, and closed-form expression are obtained for the relativistic particle number, energy, and loss-power densities, and for the distribution function corresponding to the continual injection of particle with a power-law spread in momentum. The corresponding self-consistent synchrotron emissivity for monoenergetic and power-law electron injection in cooling flows is calculated.

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