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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 …
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
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 …
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
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 have recently been reported in single-particle tracking experiments …
Anomalous diffusion and nonergodicity for heterogeneous diffusion processes with fractional Gaussian noise
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 …
D (x)= D 0| x| α. Such processes yield anomalous diffusion and weak ergodicity breaking …
Spectral content of a single non-Brownian trajectory
Time-dependent processes are often analyzed using the power spectral density (PSD)
calculated by taking an appropriate Fourier transform of individual trajectories and finding …
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
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 …
and long-term motion patterns and the overall dynamics of land-bound, plant-eating animals …
Unexpected crossovers in correlated random-diffusivity processes
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 …
living biological cells is ubiquitously characterised by'viscoelastic'anomalous diffusion, in …
Memory-multi-fractional Brownian motion with continuous correlations
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 …
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
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 …
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 …
acts as an active bath that propels passive tracer particles via direct mechanical contact. The …