Anomalous diffusion, aging, and nonergodicity of scaled Brownian motion with fractional Gaussian noise: Overview of related experimental observations and models
How does a systematic time-dependence of the diffusion coefficient D (t) affect the ergodic
and statistical characteristics of fractional Brownian motion (FBM)? Here, we answer this …
and statistical characteristics of fractional Brownian motion (FBM)? Here, we answer this …
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 …
Time averaging and emerging nonergodicity upon resetting of fractional Brownian motion and heterogeneous diffusion processes
How different are the results of constant-rate resetting of anomalous-diffusion processes in
terms of their ensemble-averaged versus time-averaged mean-squared displacements …
terms of their ensemble-averaged versus time-averaged mean-squared displacements …
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, nonergodicity, non-Gaussianity, and aging of fractional Brownian motion with nonlinear clocks
How do nonlinear clocks in time and/or space affect the fundamental properties of a
stochastic process? Specifically, how precisely may ergodic processes such as fractional …
stochastic process? Specifically, how precisely may ergodic processes such as fractional …
Time-averaging and nonergodicity of reset geometric Brownian motion with drift
How do near-bankruptcy events in the past affect the dynamics of stock-market prices in the
future? Specifically, what are the long-time properties of a time-local exponential growth of …
future? Specifically, what are the long-time properties of a time-local exponential growth of …
Restoring ergodicity of stochastically reset anomalous-diffusion processes
How do different reset protocols affect ergodicity of a diffusion process in single-particle-
tracking experiments? We here address the problem of resetting of an arbitrary stochastic …
tracking experiments? We here address the problem of resetting of an arbitrary stochastic …
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 …
Anomalous diffusion, nonergodicity, and ageing for exponentially and logarithmically time-dependent diffusivity: striking differences for massive versus massless …
AG Cherstvy, H Safdari, R Metzler - Journal of Physics D: Applied …, 2021 - iopscience.iop.org
Anomalous diffusion, nonergodicity, and ageing for exponentially and logarithmically time-dependent
diffusivity: striking differences for massive versus massless particles - IOPscience This site …
diffusivity: striking differences for massive versus massless particles - IOPscience This site …