Speaker
Description
Ensemble averaged transport modelling has become one of the key ingredients in the CRPropa framework. It is nowadays used to describe the propagation of Galactic cosmic rays, simulate the spatial transport in sources or to test analytical predictions of particle acceleration.
CRPropa’s DiffusionSDE module was originally developed as a low energy extension of the existing ultra-high energy cosmic ray propagation code, focused on Galactic cosmic rays. This physics case strongly influenced the design of the implementation, which was optimized to describe anisotropic spatial diffusion in complicated coherent magnetic field models. However, the current structure of the DiffusionSDE module makes it difficult to allow for spatially varying Eigenvalues of the diffusion tensor or include momentum diffusion.
This contribution will discuss our ongoing work to generalize the solvers for stochastic differential equations, leading to more efficient simulations and allowing to solve more realistic transport equations. The new implementation will be demonstrated with examples for first and second order particle acceleration.
