Constraints on Transport Models for Galactic Cosmic Rays and their Implications for the Anomalous Positron Abundance

While supernova remnants account for most of the cosmic rays in the Galaxy, they do not produce essential amounts of antimatter. The predicted amount of positrons, which are assumed to be purely secondary produced by cosmic ray interactions, cannot explain the measurements from PAMELA and very recently from AMS-02. In this work current cosmic ray transport models are investigated and the transport related uncertainty on the expected secondary positron flux is quantified.