Superballistic transport in tearing driven magnetic turbulence

Ion transport is studied in a magnetic field reversal with a constant electric field and with a model tearing driven magnetic turbulence. Superdiffusive and superballistic transport regimes are found for the mean square displacements in the plane of the current sheet, 〈Δx2〉∝tγ, with anomalous diffusion exponents γ up to 4. It is shown that the jump length l scales as l∝τν, with τ the jump duration and ν>1, and that γ can be interpreted in terms of the Klafter, Blumen, and Shlesinger model [Phys. Rev. A 35, 3081 (1987)] for continuous time random walk. Since velocity increases with the length of the free path, we have accelerated Lévy flights.