Asymmetric diffusion of Cosmic Rays

We study propagation of Cosmic Rays (CR) in turbulent magnetized ISM in the presence of a gradient of the mean magnetic field. We discovered that CR propagate via asymmetric diffusion: the generalization of the conventional random walk to that with unequal probabilities. We presented a toy model of CR propagation in the Galaxy as a 1D Markov chain and demonstrate that the particle density distribution drastically differs from the linear gradient set by the standard diffusion process. We discuss implications of our findings.