On the transport and propagation of relativistic electrons in galaxies

Details On the transport and propagation of relativistic electrons in galaxies On the transport and propagation of relativistic electrons in galaxies

Sep 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apjs...47...33l&link_type=abstract

Astrophysical Journal Supplement Series, vol. 47, Sept. 1981, p. 33-85. Deutsche Forschungsgemeinschaft

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21

Galaxies, Particle Acceleration, Relativistic Particles, Transport Properties, Adiabatic Conditions, Cosmic Rays, Diffusion Coefficient, Electron Flux Density, Green'S Functions, Milky Way Galaxy, Particle Diffusion, Steady State, Synchrotron Radiation, Time Dependence

Scientific paper

Analytic solutions to the time-dependent equation describing the transport of relativistic electrons that are being convected and diffused, and may be either gaining or losing energy, are described. The calculations yield a body of solutions from which specific ones can be chosen for the modelling of synchrotron radiation in the Galaxy and in other galaxies. The solutions allow for (1) spatially varying convection velocity; (2) an energy and spatially dependent diffusion coefficient; (3) adiabatic acceleration effects; (4) a term describing spatially dependent synchrotron loss and/or Fermi acceleration; (5) an injection source for the electrons that may be impulsive, steady-state, or variable-injection; (6) a spatial injection or spatially more diffuse source; (7) arbitrary energy dependence of the injection source; and (8) spatial and energy boundaries where the spatial or energy form of the convection, diffusion, and energy supply terms in the basic equation can change character.

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