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 …
Critical effects of branch numbers at the cross-link point on the relaxation behaviors of transesterification vitrimers
T Isogai, M Hayashi - Macromolecules, 2022 - ACS Publications
Vitrimers are functional cross-linked materials, exhibiting reprocessability, recyclability, and
healability, and thus these are expected for application as sustainable materials. The …
healability, and thus these are expected for application as sustainable materials. The …
Packets of diffusing particles exhibit universal exponential tails
Brownian motion is a Gaussian process described by the central limit theorem. However,
exponential decays of the positional probability density function P (X, t) of packets of …
exponential decays of the positional probability density function P (X, t) of packets of …
Generalized Langevin equation with fluctuating diffusivity
T Miyaguchi - Physical Review Research, 2022 - APS
A generalized Langevin equation with fluctuating diffusivity (GLEFD) is proposed, and it is
shown that the GLEFD satisfies a generalized fluctuation-dissipation relation. If the memory …
shown that the GLEFD satisfies a generalized fluctuation-dissipation relation. If the memory …
Brownian motion with alternately fluctuating diffusivity: Stretched-exponential and power-law relaxation
We investigate Brownian motion with diffusivity alternately fluctuating between fast and slow
states. We assume that sojourn-time distributions of these two states are given by …
states. We assume that sojourn-time distributions of these two states are given by …
Temperature and friction fluctuations inside a harmonic potential
In this article we study the trapped motion of a molecule undergoing diffusivity fluctuations
inside a harmonic potential. For the same diffusing-diffusivity process, we investigate two …
inside a harmonic potential. For the same diffusing-diffusivity process, we investigate two …
Fluctuating diffusivity emerges even in binary gas mixtures
Diffusivity in some soft matter and biological systems changes with time, called the
fluctuating diffusivity. In this work, we propose a novel origin for fluctuating diffusivity based …
fluctuating diffusivity. In this work, we propose a novel origin for fluctuating diffusivity based …
Gas diffusion in cement pastes: An analysis using a fluctuating diffusivity model
This study proposes applying the concept of fluctuating diffusivity (FD) to the diffusion of gas
molecules in cementitious materials, mainly through a two-state fluctuating diffusivity (2SFD) …
molecules in cementitious materials, mainly through a two-state fluctuating diffusivity (2SFD) …
Log-normal superstatistics for Brownian particles in a heterogeneous environment
MAF dos Santos, L Menon Junior - Physics, 2020 - mdpi.com
Superstatistical approaches have played a crucial role in the investigations of mixtures of
Gaussian processes. Such approaches look to describe non-Gaussian diffusion emergence …
Gaussian processes. Such approaches look to describe non-Gaussian diffusion emergence …
Discriminating Gaussian processes via quadratic form statistics
Gaussian processes are powerful tools for modeling and predicting various numerical data.
Hence, checking their quality of fit becomes a vital issue. In this article, we introduce a …
Hence, checking their quality of fit becomes a vital issue. In this article, we introduce a …