Power-law spatial profile in an upstream region of CME-driven interplanetary shock

Abstract

We study the density decay profile of energetic particles in the upstream region of an interplanetary shock on 14 Dec 2006 observed by the ACE spacecraft at 1 AU. The spatial decay profile of the energetic particle flux does not exhibit an exponential behavior as expected for the standard diffusive shock acceleration process but a power-law behavior in anomalous or superdiffusive transport. The power-law profiles are observed for not only the energetic ions reported in Sugiyama & Shiota (2011) but also heavier ions of He2+, CNO, and Fe. We observe the relation 〈Δx2〉 ∝ tα for α ~ 1.24–1.72, where Δx is the particle displacement within the time scale t, and the bracket denotes an ensemble average. This implies that particle propagation around a near-earth orbit can be intermediate between normal diffusion (α = 1) and ballistic motion (α equals 2).