Superstatistics and non-Gaussian diffusion

R Metzler - The European Physical Journal Special Topics, 2020 - Springer
Brownian motion and viscoelastic anomalous diffusion in homogeneous environments are
intrinsically Gaussian processes. In a growing number of systems, however, non-Gaussian …

Extracting, quantifying, and comparing dynamical and biomechanical properties of living matter through single particle tracking

S Scott, M Weiss, C Selhuber-Unkel… - Physical Chemistry …, 2023 - pubs.rsc.org
A panoply of new tools for tracking single particles and molecules has led to an explosion of
experimental data, leading to novel insights into physical properties of living matter …

Fractional Brownian motion with random diffusivity: emerging residual nonergodicity below the correlation time

W Wang, AG Cherstvy, AV Chechkin… - Journal of Physics A …, 2020 - iopscience.iop.org
Numerous examples for a priori unexpected non-Gaussian behaviour for normal and
anomalous diffusion have recently been reported in single-particle tracking experiments …

Anomalous diffusion and nonergodicity for heterogeneous diffusion processes with fractional Gaussian noise

W Wang, AG Cherstvy, X Liu, R Metzler - Physical Review E, 2020 - APS
Heterogeneous diffusion processes (HDPs) feature a space-dependent diffusivity of the form
D (x)= D 0| x| α. Such processes yield anomalous diffusion and weak ergodicity breaking …

Spectral content of a single non-Brownian trajectory

D Krapf, N Lukat, E Marinari, R Metzler, G Oshanin… - Physical Review X, 2019 - APS
Time-dependent processes are often analyzed using the power spectral density (PSD)
calculated by taking an appropriate Fourier transform of individual trajectories and finding …

Directedeness, correlations, and daily cycles in springbok motion: From data via stochastic models to movement prediction

PG Meyer, AG Cherstvy, H Seckler, R Hering… - Physical Review …, 2023 - APS
How predictable is the next move of an animal? Specifically, which factors govern the short-
and long-term motion patterns and the overall dynamics of land-bound, plant-eating animals …

Unexpected crossovers in correlated random-diffusivity processes

W Wang, F Seno, IM Sokolov, AV Chechkin… - New Journal of …, 2020 - iopscience.iop.org
The passive and active motion of micron-sized tracer particles in crowded liquids and inside
living biological cells is ubiquitously characterised by'viscoelastic'anomalous diffusion, in …

Memory-multi-fractional Brownian motion with continuous correlations

W Wang, M Balcerek, K Burnecki, AV Chechkin… - Physical Review …, 2023 - APS
We propose a generalization of the widely used fractional Brownian motion (FBM), memory-
multi-FBM (MMFBM), to describe viscoelastic or persistent anomalous diffusion with time …

The diffusion of doxorubicin drug molecules in silica nanoslits is non-Gaussian, intermittent and anticorrelated

AD Fernández, P Charchar, AG Cherstvy… - Physical Chemistry …, 2020 - pubs.rsc.org
In this study we investigate, using all-atom molecular-dynamics computer simulations, the in-
plane diffusion of a doxorubicin drug molecule in a thin film of water confined between two …

Non-Gaussian displacements in active transport on a carpet of motile cells

R Großmann, LS Bort, T Moldenhawer, M Stange… - Physical Review Letters, 2024 - APS
We study the dynamics of micron-sized particles on a layer of motile cells. This cell carpet
acts as an active bath that propels passive tracer particles via direct mechanical contact. The …