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Updated: Jan 13, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

せん断駆動有限速度拡散とその一般化

Trifce Sandev^1,2,3, 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.

Chaos (Woodbury, N.Y.)

|January 12, 2026

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.

キーワード:

せん断駆動拡散異常拡散確率的リセット非平衡状態有限速度拡散

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