Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1969
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1969ap%26ss...4..143m&link_type=abstract
Astrophysics and Space Science, Volume 4, Issue 2, pp.143-164
Astronomy and Astrophysics
Astrophysics
17
Scientific paper
The effect of the resonant interaction of a distribution of hydromagnetic waves on a distribution of particles is described by a diffusion equation in momentum space. The diffusion coefficients and other coefficients describing systematic acceleration and diffusion in energy space are derived in general and for a number of particular cases. It is shown that the resonant acceleration of slow ions by hydromagnetic waves is ineffective. The time evolution of the energy spectrum for ultrarelativistic particles due to interaction with hydromagnetic waves is found and applied to the case of the Crab Nebula in an accompanying article.
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