A new analytic solution for 2nd-order Fermi acceleration

Details A new analytic solution for 2nd-order Fermi acceleration A new analytic solution for 2nd-order Fermi acceleration

2011-10-30

arxiv.org/abs/1110.6644v2

JCAP 12 (2011) 010

Astronomy and Astrophysics

Astrophysics

High Energy Astrophysical Phenomena

14 pages, 4 figures; comments and references added; to appear in JCAP

Scientific paper

10.1088/1475-7516/2011/12/010

A new analytic solution for 2nd-order Fermi acceleration is presented. In particular, we consider time-dependent rates for stochastic acceleration, diffusive and convective escape as well as adiabatic losses. The power law index q of the turbulence spectrum is unconstrained and can therefore account for Kolmogorov (q = 5/3) and Kraichnan (q = 3/2) turbulence, Bohm diffusion (q = 1) as well as the hard-sphere approximation (q = 2). This considerably improves beyond solutions known to date and will prove a useful tool for more realistic modelling of 2nd-order Fermi acceleration in a variety of astrophysical environments.

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