Anomalous diffusion in a randomly modulated velocity field
Mathematical Physics
2023-06-13 v5 High Energy Physics - Theory
math.MP
Computational Physics
Fluid Dynamics
Abstract
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 1.5--1.9 (2D) and 1.6--2.7 (3D).
Cite
@article{arxiv.2201.04897,
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 Ken Yokoyama and Tsukasa Yumibayashi},
journal= {arXiv preprint arXiv:2201.04897},
year = {2023}
}
Comments
21 pages, 9 figures