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Updated: Jan 13, 2026
08:01
The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
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Shear-driven finite-velocity diffusion and its generalization
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.
Chaos (Woodbury, N.Y.)
|January 12, 2026
Summary
This study analyzes finite-velocity diffusion, revealing a crossover in anomalous dynamics. Stochastic resetting leads to non-equilibrium states and saturated statistical moments.
Area of Science:
- Physics
- Statistical Mechanics
- Non-equilibrium systems
Background:
- Finite-velocity diffusion, both normal and anomalous, is crucial in various physical systems.
- Macroscopic descriptions often involve telegrapher's or Cattaneo-like equations.
Purpose of the Study:
- To analyze shear-driven finite-velocity diffusion dynamics.
- To investigate the crossover behavior in anomalous diffusion.
- To explore the impact of stochastic resetting on these systems.
Main Methods:
- Analytical derivation of probability density functions and moments.
- Examination of systems under stochastic resetting conditions.
Main Results:
- The system exhibits a characteristic crossover from normal to anomalous diffusion.
- Stochastic resetting drives the system towards non-equilibrium stationary states.
- Key statistical moments (mean squared displacement, variance, skewness, kurtosis) saturate over time.
Conclusions:
- Finite-velocity diffusion displays complex anomalous dynamics with a distinct crossover.
- Stochastic resetting provides a mechanism to reach and maintain non-equilibrium steady states.
- The saturation of statistical moments under resetting highlights the stabilization of the system's behavior.
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