تقرير
Anomalous diffusion in a randomly modulated velocity field
| العنوان: | Anomalous diffusion in a randomly modulated velocity field |
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| المؤلفون: | Aibara, Noriaki, Fujimoto, Naoaki, Katagiri, So, Matsuo, Yutaka, Matsuoka, Yoshiki, Sugamoto, Akio, Yokoyama, Ken, Yumibayashi, Tsukasa |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics Physics (Other) |
| مصطلحات موضوعية: | Mathematical Physics, High Energy Physics - Theory, Physics - Computational Physics, Physics - Fluid Dynamics |
| الوصف: | 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). Comment: 21 pages, 9 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.cnsns.2023.107342 |
| URL الوصول: | http://arxiv.org/abs/2201.04897 |
| رقم الأكسشن: | edsarx.2201.04897 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.cnsns.2023.107342 |
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