Abstract
Superdiffusion is characterized by a nonlinear growth of the mean square deviation with time. Superdiffusive transport can be interpreted in terms of a Lévy random walk, a stochastic process where a power-law distribution of free path lengths is allowed. Considering particles accelerated at interplanetary shocks, it is found that their intensity profile is a power-law in time in the case of superdiffusion, while it is an exponential decay for normal diffusion. Analysis of energetic particle fluxes from the Ulysses spacecraft at about 5 AU and from the Voyager 2 spacecraft at the solar wind termination shock shows that superdiffusive transport is found.
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Zimbardo, G., Perri, S. (2012). Superdiffusive Transport at Shocks in Space Plasmas. In: Leubner, M., Vörös, Z. (eds) Multi-scale Dynamical Processes in Space and Astrophysical Plasmas. Astrophysics and Space Science Proceedings, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30442-2_17
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DOI: https://doi.org/10.1007/978-3-642-30442-2_17
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