A new analytic solution for 2nd-order Fermi acceleration

作者：Mertsch Philipp^*

来源：Journal of Cosmology and Astroparticle Physics, 2011, (12): 010.

DOI：10.1088/1475-7516/2011/12/010

• particle acceleration
• cosmic ray theory

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 a diabatic 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.

• 出版日期2011-12