where po is the particle momentum in the source. As we have noted, the Eq. 2.9.11 describes the particle distribution in the super-relativistic case ( E = p ). For this purpose one should make the substitution v ^ v +1. As consistent with this, Eq. 2.9.13 represents the distribution function in the super-relativistic case for v = 2 (Tverskoy,l967b).
Let us compare the cases considered of particle acceleration by a wave turbulence with a pure Fermi acceleration of particles (particle collisions with stochastically moving clouds). Fermi acceleration can be obtained from the Eq. 2.9.9 if we set in it formally v = 1 (non-relativistic case) or v = 2 (super-relativistic case). As is seen from the above Eq. 2.9.11-2.9.13 the shape of the
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