Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking
Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …
have uncovered significant deviations from the laws of Brownian motion in a variety of …
Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes
We demonstrate the non-ergodicity of a simple Markovian stochastic process with space-
dependent diffusion coefficient D (x). For power-law forms D (x)≃| x| α, this process yields …
dependent diffusion coefficient D (x). For power-law forms D (x)≃| x| α, this process yields …
Non-Gaussian, non-ergodic, and non-Fickian diffusion of tracers in mucin hydrogels
Native mucus is polymer-based soft-matter material of paramount biological importance.
How non-Gaussian and non-ergodic is the diffusive spreading of pathogens in mucus? We …
How non-Gaussian and non-ergodic is the diffusive spreading of pathogens in mucus? We …
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 …
Guidelines for the fitting of anomalous diffusion mean square displacement graphs from single particle tracking experiments
Single particle tracking is an essential tool in the study of complex systems and biophysics
and it is commonly analyzed by the time-averaged mean square displacement (MSD) of the …
and it is commonly analyzed by the time-averaged mean square displacement (MSD) of the …
Inertia triggers nonergodicity of fractional Brownian motion
How related are the ergodic properties of the over-and underdamped Langevin equations
driven by fractional Gaussian noise? We here find that for massive particles performing …
driven by fractional Gaussian noise? We here find that for massive particles performing …
Bayesian analysis of single-particle tracking data using the nested-sampling algorithm: maximum-likelihood model selection applied to stochastic-diffusivity data
We employ Bayesian statistics using the nested-sampling algorithm to compare and rank
multiple models of ergodic diffusion (including anomalous diffusion) as well as to assess …
multiple models of ergodic diffusion (including anomalous diffusion) as well as to assess …
DNA–cholesterol barges as programmable membrane-exploring agents
DNA nanotechnology enables the precise construction of nanoscale devices that mimic
aspects of natural biomolecular systems yet exhibit robustly programmable behavior. While …
aspects of natural biomolecular systems yet exhibit robustly programmable behavior. While …
Quantifying non-ergodicity of anomalous diffusion with higher order moments
Anomalous diffusion is being discovered in a fast growing number of systems. The exact
nature of this anomalous diffusion provides important information on the physical laws …
nature of this anomalous diffusion provides important information on the physical laws …