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Updated: Jan 13, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Difusión de velocidad finita impulsada por cizallamiento y su generalización
Trifce Sandev1,2,3, Alexander Iomin4, Yang Tang5
1Research Center for Computer Science and Information Technologies, Macedonian Academy of Sciences and Arts, Bul. Krste Misirkov 2, 1000 Skopje, Macedonia.
Abstract:
We consider shear-driven finite-velocity diffusion, both normal and anomalous. In the macroscopic description, this leads to a telegrapher's or Cattaneo-like equation. We analyze the probability density function, and the corresponding moments are obtained analytically. We show that the system exhibits a characteristic crossover of the anomalous dynamics. We also explore corresponding processes under stochastic resetting and find that the systems reach non-equilibrium stationary states in the long time limit that also results in saturation of the evolution of the corresponding mean squared displacement, variance, skewness, and kurtosis.
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