# Analytical Study of Anomalous Diffusion by Randomly Modulated Dipole

@inproceedings{Katagiri2022AnalyticalSO, title={Analytical Study of Anomalous Diffusion by Randomly Modulated Dipole}, author={So Katagiri and Yasuyuki Matsuo and Yoshiko Matsuoka and Akio Sugamoto}, year={2022} }

This paper derives the Fokker-Planck (FP) equation for a particle moving in potential by a randomly modulated dipole. The FP equation describes the anomalous diﬀusion observed in the companion paper [1] and breaks the conservation of the total probability at the singularity by the dipole. It also shows anisotropic diﬀusion, which is typical in ﬂuid turbulence. We need to modify the probability density by introducing a mechanism to recover the particle. After the modiﬁcation, the latent fractal…

## One Citation

Anomalous diffusion in a randomly modulated velocity field

- Physics
- 2022

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…

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