Anomalous diffusion in a self-similar random advection field.

Phys Rev E Stat Nonlin Soft Matter Phys

Nuclear Safety Institute, Russian Academy of Sciences, 52 Bolshaya Tul'skaya St., 115191 Moscow, Russia.

Published: 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.

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Source
http://dx.doi.org/10.1103/PhysRevE.72.061104DOI Listing

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