Unravelling the origins of anomalous diffusion: From molecules to migrating storks
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 bi...
| Main Authors: | , , , , , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.033055 |
| _version_ | 1797210723909107712 |
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| author | Ohad Vilk Erez Aghion Tal Avgar Carsten Beta Oliver Nagel Adal Sabri Raphael Sarfati Daniel K. Schwartz Matthias Weiss Diego Krapf Ran Nathan Ralf Metzler Michael Assaf |
| author_facet | Ohad Vilk Erez Aghion Tal Avgar Carsten Beta Oliver Nagel Adal Sabri Raphael Sarfati Daniel K. Schwartz Matthias Weiss Diego Krapf Ran Nathan Ralf Metzler Michael Assaf |
| author_sort | Ohad Vilk |
| collection | DOAJ |
| description | 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 anomalous diffusion and transport in the data. This method decomposes anomalous transport into three primary effects: long-range correlations (“Joseph effect”), fat-tailed probability density of increments (“Noah effect”), and nonstationarity (“Moses effect”). We show that such a decomposition of real-life data allows us to infer nontrivial behavioral predictions and to resolve open questions in the fields of single-particle tracking in living cells and movement ecology. |
| first_indexed | 2024-04-24T10:15:08Z |
| format | Article |
| id | doaj.art-6a0df01edce74b15ac5ac61c7ff8ccd9 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:15:08Z |
| publishDate | 2022-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-6a0df01edce74b15ac5ac61c7ff8ccd92024-04-12T17:22:55ZengAmerican Physical SocietyPhysical Review Research2643-15642022-07-014303305510.1103/PhysRevResearch.4.033055Unravelling the origins of anomalous diffusion: From molecules to migrating storksOhad VilkErez AghionTal AvgarCarsten BetaOliver NagelAdal SabriRaphael SarfatiDaniel K. SchwartzMatthias WeissDiego KrapfRan NathanRalf MetzlerMichael AssafAnomalous 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 anomalous diffusion and transport in the data. This method decomposes anomalous transport into three primary effects: long-range correlations (“Joseph effect”), fat-tailed probability density of increments (“Noah effect”), and nonstationarity (“Moses effect”). We show that such a decomposition of real-life data allows us to infer nontrivial behavioral predictions and to resolve open questions in the fields of single-particle tracking in living cells and movement ecology.http://doi.org/10.1103/PhysRevResearch.4.033055 |
| spellingShingle | Ohad Vilk Erez Aghion Tal Avgar Carsten Beta Oliver Nagel Adal Sabri Raphael Sarfati Daniel K. Schwartz Matthias Weiss Diego Krapf Ran Nathan Ralf Metzler Michael Assaf Unravelling the origins of anomalous diffusion: From molecules to migrating storks Physical Review Research |
| title | Unravelling the origins of anomalous diffusion: From molecules to migrating storks |
| title_full | Unravelling the origins of anomalous diffusion: From molecules to migrating storks |
| title_fullStr | Unravelling the origins of anomalous diffusion: From molecules to migrating storks |
| title_full_unstemmed | Unravelling the origins of anomalous diffusion: From molecules to migrating storks |
| title_short | Unravelling the origins of anomalous diffusion: From molecules to migrating storks |
| title_sort | unravelling the origins of anomalous diffusion from molecules to migrating storks |
| url | http://doi.org/10.1103/PhysRevResearch.4.033055 |
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