Phys. Rev. E 72, 061104 (2005) [5 pages]Anomalous diffusion in a self-similar random advection fieldReceived 28 July 2005; published 14 December 2005 The problem on passive scalar advection in random (statistically homogeneous) self-similar media is solved. Even in superdiffusive mode the solution is found not to possess “heavy” power tails. Instead, they are exponential (not Gaussian). The derivation is conducted by means of the scaling analysis. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.061104
DOI:
10.1103/PhysRevE.72.061104
PACS:
05.40.Fb, 46.65.+g, 47.55.Mh
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