The DOI matches its Crossref record; 217 of the 217 references it cites were found in a registry or an index.
Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking
Open accessAbstract
This Perspective summarises the properties of a variety of anomalous diffusion processes and provides the necessary tools to analyse and interpret recorded anomalous diffusion data.
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Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
Fractional Differential Equations
(2025) · MDPI eBooks · doi:10.3390/books978-3-7258-4742-6 · Cited by 20,278
The random walk's guide to anomalous diffusion: a fractional dynamics approach
Metzler, R., & Klafter, J. (2000) · Physics Reports · doi:10.1016/s0370-1573(00)00070-3 · Cited by 9,026
Self-citationFractional Brownian Motions, Fractional Noises and Applications
Mandelbrot, B. B., & Van Ness, J. W. (1968) · SIAM Review · doi:10.1137/1010093 · Cited by 7,645
The Fractal Geometry of Nature
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Hurst, H. E. (1951) · Transactions of the American Society of Civil Engineers · doi:10.1061/taceat.0006518 · Cited by 6,212
Understanding individual human mobility patterns
González, M. C., Hidalgo, C. A., & Barabási, A.-L. (2008) · Nature · doi:10.1038/nature06958 · Cited by 6,059
The fluctuation-dissipation theorem
Kubo, R. (1966) · Reports on Progress in Physics · doi:10.1088/0034-4885/29/1/306 · Cited by 5,094
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
Bouchaud, J.-P., & Georges, A. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90099-n · Cited by 4,162
How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension
Mandelbrot, B. (1967) · Science · doi:10.1126/science.156.3775.636 · Cited by 4,090
Cited by
Quantifying brain microstructure with diffusion MRI: Theory and parameter estimation
Novikov, D. S., Fieremans, E., Jespersen, S. N., & Kiselev, V. G. (2019) · NMR in Biomedicine · doi:10.1002/nbm.3998 · Cited by 581
Molecular Dynamics Simulations of Membrane Permeability
Venable, R. M., Krämer, A., & Pastor, R. W. (2019) · Chemical Reviews · doi:10.1021/acs.chemrev.8b00486 · Cited by 394
Guerreri, M., Palombo, M., Caporale, A., Fasano, F., Macaluso, E., Bozzali, M., & Capuani, S. (2019) · NeuroImage · doi:10.1016/j.neuroimage.2018.12.044 · Cited by 31
Metadata
- Authors
- Metzler, R., Jeon, J.-H., Cherstvy, A. G., & Barkai, E.
- Venue
- Phys. Chem. Chem. Phys.
- Publisher
- Royal Society of Chemistry (RSC)
- Published
- 2014
- Volume
- 16
- Issue
- 44
- Pages
- 24128-24164
- ISSN
- 1463-9076 (ISSN-L)
- 1463-9084
- OpenAlex
- W2016533177
- Cited by
- 1,765
- References
- 217
- FWCI
- 111.69
- Type
- journal article
- Language
- en
- Open access
- hybrid
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- Metzler, R., Jeon, J.-H., Cherstvy, A. G., & Barkai, E. (2014). Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking. Phys. Chem. Chem. Phys. https://doi.org/10.1039/c4cp03465a
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
