SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 56: Brownian Motion and Anomalous Diffusion

DY 56.3: Vortrag

Freitag, 31. März 2023, 10:00–10:15, ZEU 160

Single-trajectory spectral analysis as a criterion of anomalous diffusion — •Vittoria Sposini — University of Vienna, Austria

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. This anomalous diffusion can emerge due to a variety of physical mechanisms, e.g., trapping interactions or the viscoelasticity of the environment. Demonstrating that a system exhibits normal- or anomalous-diffusion is highly desirable for a vast host of applications. In this talk I will 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, I will report results from various tests on surrogate data in absence or presence of additional positional noise demonstrating the efficacy of this method in practical contexts.

[1] V Sposini, D Krapf, E Marinari, R Sunyer, F Ritort, F Taheri, C Selhuber-Unkel, R Benelli, M Weiss, R Metzler & G Oshanin, Comms. Phys. 5, 305 (2022).