Power requirements for cosmic ray propagation models involving re-acceleration and a comment on second order Fermi acceleration theory

Abstract

We derive an analytic expression for the power transferred from interstellar turbulence to the Galactic cosmic rays in propagation models which include re-acceleration. This is used to estimate the power required in such models and the relative importance of the primary acceleration as against re-acceleration. The analysis provides a formal mathematical justification for Fermi's heuristic account of second order acceleration in his classic 1949 paper.

arXiv comment3 pages, submitted to MNRAS. some additions as requested by the referee

References in corpus (2)

• Constraints on cosmic-ray propagation models from a global Bayesian analysis
• Origin of Cosmic Rays

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