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Anomalous diffusion in a randomly modulated velocity field.
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Oct2023, Vol. 125, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
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). • 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). [ABSTRACT FROM AUTHOR]
- Subjects :
- *FRACTAL dimensions
*DIPOLE moments
*VELOCITY
*TURBULENCE
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 125
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 169754042
- Full Text :
- https://doi.org/10.1016/j.cnsns.2023.107342