On the modulation of cosmic rays as described by a stochastic transport model

We present selected results from a newly developed 5 dimensional cosmic ray (CR) modulation model, em- ploying stochastic differential equations to solve the relevant transport equation. The model is applied to the study of galactic CR electron and proton modulation. We calculate the propagation times and energy losses suffered by these particles as they propagate through the heliosphere, and compare these values with the limited analytical approximations that are available in order to validate the approach. We also incorporate a wavy current sheet into the model and examine the effect thereof. We argue that the stochastic modelling approach gives additional insight into the modulation processes, with respect to what is found with traditional finite difference modulation models.