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Anomalous diffusion in a randomly modulated velocity field

by Noriaki Aibara, Naoaki Fujimoto, So Katagiri, Yutaka Matsuo, Yoshiki Matsuoka, Akio Sugamoto, Ken Yokoyama, Tsukasa Yumibayashi

Submission summary

Authors (as registered SciPost users): Yoshiki Matsuoka
Submission information
Preprint Link:  (pdf)
Date submitted: 2022-05-03 03:46
Submitted by: Matsuoka, Yoshiki
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Mathematical Physics
Approaches: Theoretical, Computational


This paper proposes a simple model of anomalous diffusion, in which a particle moves with the velocity field induced by a single "dipole" (a doublet or a pair of source and sink), whose moment is modulated randomly at each time step. A motivation to introduce such a model is that it may serve as a toy model to investigate an anomalous diffusion of fluid particles in turbulence. We perform a numerical simulation of the fractal dimension of the trajectory using periodic boundary conditions in two and three dimensions. For a wide range of the dipole moment, we estimate the fractal dimension of the trajectory to be 1.7--1.9 (2D) and 2.4--2.7 (3D).

Current status:
Awaiting resubmission

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