A new analytic solution for 2nd-order Fermi acceleration
High Energy Astrophysical Phenomena
2011-12-13 v2
Abstract
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.
Cite
@article{arxiv.1110.6644,
title = {A new analytic solution for 2nd-order Fermi acceleration},
author = {Philipp Mertsch},
journal= {arXiv preprint arXiv:1110.6644},
year = {2011}
}
Comments
14 pages, 4 figures; comments and references added; to appear in JCAP