Source Requirements for the Fluctuation Origin of Cosmic Radiation

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Scientific paper

We have investigated what conditions are placed upon a source of cosmic-ray particles within a model of the origin of cosmic rays in which fluctuations in the momentum-changing process are important. This is done by considering the relationship between <ΔP> and <ΔP2>, where ΔP is the momentum change in a collision. With the assumption that the energies due to turbulent motion, cosmic rays, and the magnetic field are linearly related, we find an expression for the number density of cosmic-ray particles ejected from a changing volume in terms of their average kinetic energy. We consider this in terms of the fluctuation model to obtain other source requirements. It is found that over a large range of astrophysical phenomena the dominance of fluctuation can be important to the origin of cosmic radiation.

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