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Anomalous diffusion due to long-range velocity fluctuations in the absence of a mean flow

Anomalous diffusion due to long-range velocity fluctuations in the absence of a mean flow

The dispersion of a tracer in a heterogeneous medium in which the tracerā€™s velocity has zero mean and a covariance that decays as xāˆ’Ī³ with distance x is studied using nonlocal advectionā€“diffusion theory. If the velocity covariance decays slowly, Ī³ā‰¤2, the tracerā€™s dispersive motion is non-Fickian even at long times ā€¦