# Unravelling the origins of anomalous diffusion: From molecules to migrating storks

@article{Vilk2021UnravellingTO, title={Unravelling the origins of anomalous diffusion: From molecules to migrating storks}, author={Ohad Vilk and Erez Aghion and Tal Avgar and Carsten Beta and Oliver Nagel and Adal Sabri and Raphael Sarfati and Daniel K. Schwartz and Matthias Weiss and Diego Krapf and Ran Nathan and Ralf Metzler and Michael Assaf}, journal={Physical Review Research}, year={2021} }

Anomalous diﬀusion or, more generally, anomalous transport, with nonlinear dependence of the mean-squared displacement on the measurement time, is ubiquitous in nature. It has been observed in processes ranging from microscopic movement of molecules to macroscopic, large-scale paths of migrating birds. Using data from multiple empirical systems, spanning 12 orders of magnitude in length and 8 orders of magnitude in time, we employ a method to detect the individual underlying origins of…

## 5 Citations

### Towards a robust criterion of anomalous diffusion

- PhysicsCommunications Physics
- 2022

Anomalous-diffusion, the departure of the spreading dynamics of diffusing particles from the traditional law of Brownian-motion, is a signature feature of a large number of complex soft-matter and…

### Classification of anomalous diffusion in animal movement data using power spectral analysis

- Environmental Science
- 2022

The field of movement ecology has seen a rapid increase in high-resolution data in recent years, leading to the development of numerous statistical and numerical methods to analyse relocation…

### Bayesian deep learning for error estimation in the analysis of anomalous diffusion

- Computer ScienceNature Communications
- 2022

Recently proposed machine-learning techniques for decoding anomalous-diffusion data are augmented to include an uncertainty estimate in addition to the predicted output, providing insights into the learning process of the machine and the relevance of the output.

### Decomposing the effect of anomalous diffusion enables direct calculation of the Hurst exponent and model classification for single random paths

- Computer ScienceJournal of Physics A: Mathematical and Theoretical
- 2022

The theoretical background of the automated algorithm which is put for these tasks in the diffusion challenge is presented, as a counter to other pure data-driven approaches.

### Characterization of anomalous diffusion through convolutional transformers

- Computer ScienceJournal of Physics A: Mathematical and Theoretical
- 2023

The Convolutional Transformer is able to outperform the previous state of the art at determining the underlying diffusive regime in short trajectories, which are the most important for experimental researchers.

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