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 …

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 …

Packets of diffusing particles exhibit universal exponential tails

E Barkai, S Burov - Physical review letters, 2020 - APS
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 …

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 …

Brownian motion with alternately fluctuating diffusivity: Stretched-exponential and power-law relaxation

T Miyaguchi, T Uneyama, T Akimoto - Physical Review E, 2019 - APS
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 …

Temperature and friction fluctuations inside a harmonic potential

Y Lanoiselée, A Stanislavsky, D Calebiro, A Weron - Physical Review E, 2022 - APS
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 …

Fluctuating diffusivity emerges even in binary gas mixtures

F Nakai, Y Masubuchi, Y Doi, T Ishida, T Uneyama - Physical Review E, 2023 - APS
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 …

Gas diffusion in cement pastes: An analysis using a fluctuating diffusivity model

F Nakai, T Ishida - Construction and Building Materials, 2023 - Elsevier
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) …

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 …

Discriminating Gaussian processes via quadratic form statistics

M Balcerek, K Burnecki, G Sikora… - … Journal of Nonlinear …, 2021 - pubs.aip.org
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 …