Physical Review E · 2005 · 25 citations · 17 references
Natural SciencesMathematicsPhysicsDifferential EquationsFluid DynamicsStochastic ProcessesDiffusion ProcessesDissipative SystemsStatistical MechanicsStochastic Differential EquationsAdvectionAdvection ProcessesAnomalous DiffusionAnomalous Diffusion EffectsAnomalous TransportPassive Scalar TransportRandom Media TransportScaling Analysis
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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