• Corpus ID: 245906096

Anomalous diffusion in a randomly modulated velocity field

@inproceedings{Aibara2022AnomalousDI,
  title={Anomalous diffusion in a randomly modulated velocity field},
  author={Noriaki Aibara and Naoaki Fujimoto and So Katagiri and Yutaka Matsuo and Yoshiki Matsuoka and Akio Sugamoto and Kenichiro Yokoyama and Tsukasa Yumibayashi},
  year={2022}
}

• Noriaki Aibara, Naoaki Fujimoto, +5 authors Tsukasa Yumibayashi
• Published 13 January 2022
• Physics

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).