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Towards a robust criterion of anomalous diffusion

Title data

Sposini, Vittoria ; Krapf, Diego ; Marinari, Enzo ; Sunyer, Raimon ; Ritort, Felix ; Taheri, Fereydoon ; Selhuber-Unkel, Christine ; Benelli, Rebecca ; Weiss, Matthias ; Metzler, Ralf ; Oshanin, Gleb:
Towards a robust criterion of anomalous diffusion.
In: Communications Physics. Vol. 5 (2022) . - 305.
ISSN 2399-3650
DOI: https://doi.org/10.1038/s42005-022-01079-8

Official URL: Volltext

Abstract in another language

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 biological systems. Anomalous-diffusion emerges due to a variety of physical mechanisms, e.g., trapping interactions or the viscoelasticity of the environment. However, sometimes systems dynamics are erroneously claimed to be anomalous, despite the fact that the true motion is Brownian—or vice versa. This ambiguity in establishing whether the dynamics as normal or anomalous can have far-reaching consequences, e.g., in predictions for reaction- or relaxation-laws. Demonstrating that a system exhibits normal- or anomalous-diffusion is highly desirable for a vast host of applications. Here, we present a criterion for anomalous-diffusion based on the method of power-spectral analysis of single trajectories. The robustness of this criterion is studied for trajectories of fractional-Brownian-motion, a ubiquitous stochastic process for the description of anomalous-diffusion, in the presence of two types of measurement errors. In particular, we find that our criterion is very robust for subdiffusion. Various tests on surrogate data in absence or presence of additional positional noise demonstrate the efficacy of this method in practical contexts. Finally, we provide a proof-of-concept based on diverse experiments exhibiting both normal and anomalous-diffusion.

Further data

Item Type: Article in a journal
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics I - Physics of Living Matter > Chair Experimental Physics I - Physics of Living Matter - Univ.-Prof. Dr. Matthias Weiss
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics I - Physics of Living Matter
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 530 Physics
500 Science > 570 Life sciences, biology
Date Deposited: 06 Dec 2022 06:08
Last Modified: 26 Sep 2023 09:17
URI: https://eref.uni-bayreuth.de/id/eprint/72959