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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Items 201–217 of 217
Random walk to a nonergodic equilibrium concept
Bel, G., & Barkai, E. (2006) · Physical Review E · doi:10.1103/physreve.73.016125 · Cited by 54
Self-citationRandom time averaged diffusivities for Lévy walks
Froemberg, D., & Barkai, E. (2013) · The European Physical Journal B · doi:10.1140/epjb/e2013-40436-1 · Cited by 53
Self-citationReaction-subdiffusion front propagation in a comblike model of spiny dendrites
Iomin, A., & Méndez, V. (2013) · Physical Review E · doi:10.1103/physreve.88.012706 · Cited by 49
Discriminating between Anomalous Diffusion and Transient Behavior in Microheterogeneous Environments
Berezhkovskii, A. M., Dagdug, L., & Bezrukov, S. M. (2014) · Biophysical Journal · doi:10.1016/j.bpj.2013.12.013 · Cited by 48
Diffusion in the presence of periodically spaced permeable membranes
Dudko, O. K., Berezhkovskii, A. M., & Weiss, G. H. (2004) · The Journal of Chemical Physics · doi:10.1063/1.1814055 · Cited by 47
First-passage statistics for aging diffusion in systems with annealed and quenched disorder
Krüsemann, H., Godec, A., & Metzler, R. (2014) · Physical Review E · doi:10.1103/physreve.89.040101 · Cited by 46
Self-citationTransient diffusion in a tube with dead ends
Dagdug, L., Berezhkovskii, A. M., Makhnovskii, Y. A., & Zitserman, V. Y. (2007) · The Journal of Chemical Physics · doi:10.1063/1.2805068 · Cited by 46
First passage times for a tracer particle in single file diffusion and fractional Brownian motion
Sanders, L. P., & Ambjörnsson, T. (2012) · The Journal of Chemical Physics · doi:10.1063/1.4707349 · Cited by 46
Anomalous diffusion and semimartingales
Weron, A., & Magdziarz, M. (2009) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/86/60010 · Cited by 42
Anomalous Transport: A Deterministic Approach
Artuso, R., & Cristadoro, G. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.244101 · Cited by 41
Space-Time Velocity Correlation Function for Random Walks
Zaburdaev, V., Denisov, S. I., & Peter Hänggi, A. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.170604 · Cited by 37
Grebenkov, D. S., & Vahabi, M. (2014) · Physical Review E · doi:10.1103/physreve.89.012130 · Cited by 33
Sereshki, L. E., Lomholt, M. A., & Metzler, R. (2012) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/97/20008 · Cited by 24
Self-citationBaumann, G., Place, R. F., & Földes‐Papp, Z. (2010) · Current Pharmaceutical Biotechnology · doi:10.2174/138920110791591454 · Cited by 23
Potential of Mean Force of Polyethylenimine-Mediated DNA Attraction
Bagai, S., Sun, C., & Tang, T. (2012) · The Journal of Physical Chemistry B · doi:10.1021/jp308132y · Cited by 23
Calderon, C. P., Thompson, M. A., Casolari, J. M., Paffenroth, R. C., & Moerner, W. E. (2013) · The Journal of Physical Chemistry B · doi:10.1021/jp4064214 · Cited by 18
Eule, S., & Friedrich, R. (2013) · Physical Review E · doi:10.1103/physreve.87.032162 · Cited by 10
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
Chechkin, A. V., Seno, F., Metzler, R., & Sokolov, I. M. (2017) · Physical Review X · doi:10.1103/physrevx.7.021002 · Cited by 432
Self-citationMolecular 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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
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.