Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking
University of Potsdam · Institute of Astronomy · +6 more institutions
Abstract
Modern microscopic techniques following the stochastic motion of labelled tracer particles have uncovered significant deviations from the laws of Brownian motion in a variety of animate and inanimate systems. Such anomalous diffusion can have different physical origins, which can be identified from careful data analysis. In particular, single particle tracking provides the entire trajectory of the traced particle, which allows one to evaluate different observables to quantify the dynamics of the system under observation. We here provide an extensive overview over different popular anomalous diffusion models and their properties. We pay special attention to their ergodic properties, highlighting the fact that…
Citation impact
- FWCI
- 88.96
- Percentile
- 100%
- References
- 385
Authors
4- RMRalf MetzlerCorresponding
University of Potsdam, Institute of Astronomy, FZU ‒ Institute of Physics of the Academy of Sciences of the Czech Republic, Tampere University
- JJJae‐Hyung Jeon
Korea Institute for Advanced Study, Tampere University, Institute for Advanced Study
- AGAndrey G. Cherstvy
University of Potsdam, Institute of Astronomy, FZU ‒ Institute of Physics of the Academy of Sciences of the Czech Republic
- EBEli Barkai
Bar-Ilan University, Institute of Nanotechnology
Topics & keywords
- Ergodicity
- Statistical physics
- Diffusion
- Particle (ecology)
- Ageing
- Tracking (education)
- Biological system
- Mathematics